subject:(Noncommutative geometry)

Universiteit Utrecht

1. Kluck, F.V. A metric in the space of spectral triples.

Degree: 2014, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/291827

► In 1996, Alain Connes introduced the spectral triple, which encodes the information of a spin manifold in a way that allows for a noncommutative generalization.… (more)

Subjects/Keywords: spectral triple; noncommutative geometry; correspondences

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APA (6^th Edition):

Kluck, F. V. (2014). A metric in the space of spectral triples. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/291827

Chicago Manual of Style (16^th Edition):

Kluck, F V. “A metric in the space of spectral triples.” 2014. Masters Thesis, Universiteit Utrecht. Accessed March 06, 2021. http://dspace.library.uu.nl:8080/handle/1874/291827.

MLA Handbook (7^th Edition):

Kluck, F V. “A metric in the space of spectral triples.” 2014. Web. 06 Mar 2021.

Vancouver:

Kluck FV. A metric in the space of spectral triples. [Internet] [Masters thesis]. Universiteit Utrecht; 2014. [cited 2021 Mar 06]. Available from: http://dspace.library.uu.nl:8080/handle/1874/291827.

Council of Science Editors:

Kluck FV. A metric in the space of spectral triples. [Masters Thesis]. Universiteit Utrecht; 2014. Available from: http://dspace.library.uu.nl:8080/handle/1874/291827

University of Texas – Austin

2. Orem, Hendrik Nikolas. Coordinate systems and associative algebras.

Degree: PhD, Mathematics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/31505

► This dissertation applies and extends the techniques of formal algebraic geometry in the setting of certain "smooth" associative algebras and their globalizations, noncommutative manifolds, roughly… (more)

▼ This dissertation applies and extends the techniques of formal algebraic geometry in the setting of certain "smooth" associative algebras and their globalizations, noncommutative manifolds, roughly ringed spaces locally modeled on the free associative algebra. We define a notion of noncommutative coordinate system, which is a principal bundle for an appropriate group of local coordinate changes. These bundles are shown to carry a natural flat connection with properties analogous to the classical Gelfand-Kazhdan structure. Every noncommutative manifold has an underlying smooth variety given by abelianization. A basic question is existence and uniqueness of noncommu- tative thickenings of a smooth variety, i.e., finding noncommutative manifolds abelianizing to a given smooth variety. We obtain new results in this direction by showing that noncommutative coordinate systems always arise as reductions of structure group of the commutative bundle of coordinate systems on the underlying smooth variety; this also explains a relationship between D-modules on the commutative variety and sheaves of modules for the noncommutative structure sheaf. The lower central series invariants M[subscript k] of an associative algebra A are the two-sided ideals generated by k-fold nested commutators; the M[subscript k] give a decreasing filtration of A. We study the relationship between the geometry of X = Spec A[subscript ab] and the associated graded components N[subscript k] of this filtration. We show that the N[subscript k] form coherent sheaves on a certain nilpotent thickening of X, and that Zariski localization on X coincides with noncommutative localization of A. We then construct the N[subscript k] in terms of the bundle of coordinate systems on X and the N[subscript k] invariants for the free associative algebra; in particular, since this is independent of A, we exhibit the N[subscript k] as natural vector bundles on the category of smooth schemes. Advisors/Committee Members: Ben-Zvi, David, 1974- (advisor), Freed, Daniel (committee member), Hadani, Ronny (committee member), Nadler, David (committee member), Nevins, Thomas (committee member), Schedler, Travis (committee member).

Subjects/Keywords: Noncommutative algebra; Algebraic geometry

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APA (6^th Edition):

Orem, H. N. (2015). Coordinate systems and associative algebras. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/31505

Chicago Manual of Style (16^th Edition):

Orem, Hendrik Nikolas. “Coordinate systems and associative algebras.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed March 06, 2021. http://hdl.handle.net/2152/31505.

MLA Handbook (7^th Edition):

Orem, Hendrik Nikolas. “Coordinate systems and associative algebras.” 2015. Web. 06 Mar 2021.

Vancouver:

Orem HN. Coordinate systems and associative algebras. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2152/31505.

Council of Science Editors:

Orem HN. Coordinate systems and associative algebras. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/31505

University of California – San Diego

3. Won, Robert. The graded module category of a generalized Weyl algebra.

Degree: Mathematics, 2016, University of California – San Diego

URL: http://www.escholarship.org/uc/item/5352x739

► The first Weyl algebra, A, is naturally Z-graded by letting deg x = 1 and deg y = -1. Sue Sierra studied gr-A, the category… (more)

Subjects/Keywords: Mathematics; algebraic geometry; noncommutative geometry; noncommutative projective geometry; noncommutative projective schemes; noncommutative ring theory; ring theory

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APA (6^th Edition):

Won, R. (2016). The graded module category of a generalized Weyl algebra. (Thesis). University of California – San Diego. Retrieved from http://www.escholarship.org/uc/item/5352x739

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Won, Robert. “The graded module category of a generalized Weyl algebra.” 2016. Thesis, University of California – San Diego. Accessed March 06, 2021. http://www.escholarship.org/uc/item/5352x739.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Won, Robert. “The graded module category of a generalized Weyl algebra.” 2016. Web. 06 Mar 2021.

Vancouver:

Won R. The graded module category of a generalized Weyl algebra. [Internet] [Thesis]. University of California – San Diego; 2016. [cited 2021 Mar 06]. Available from: http://www.escholarship.org/uc/item/5352x739.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Won R. The graded module category of a generalized Weyl algebra. [Thesis]. University of California – San Diego; 2016. Available from: http://www.escholarship.org/uc/item/5352x739

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

4. Do, Hanh Duc. MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/39b741zt

► In the thesis, we initial first steps in understanding Quantum Mirror Symmetry and noncommutative compactification of moduli spaces of tori. To obtain a global invariant… (more)

▼ In the thesis, we initial first steps in understanding Quantum Mirror Symmetry and noncommutative compactification of moduli spaces of tori. To obtain a global invariant of noncommutative torus bundle, we study the monodromy of Gauss-Manin connection on periodic cyclic homology groups of Heisenberg group. Then the global monodromy map is developed, and provides a important criterion to detect when a noncommutative torus bundle is dequantizable. A process to construct the dequantizing Poisson manifold is given, when the dequantization criterion is satisfied. Naively, it seems that the Morita theory for noncommutative torus bundles can be developed naturally as in Rieffel theory for rotation algebras. However, this assumption turns out to be wrong; the Morita class of a non-dequantizable noncommutative torus bundle is not a classical object in the category of C*- algebras, and we call them C*- stacks. Even with the extended notion of C*- stacks, the Morita theory is still incompatible with noncommutative torus bundles with the infinite Poisson limit. There is no rotation algebra that can be used to compactify the moduli space of rotation algebras, even though we know that the "infinite Poisson rotation algebra" is strongly Morita equivalent to the classical torus. This subtlety is completely solved by a new mathematical structure hidden behind the quantization of constant Dirac structures on the tori.We develop a new theory of quantum spaces called spatial structure to give a better understanding of quantum spaces and torus fibrations. We clarify some examples of spatial algebras and develop a rigorous way to construct a monoidal structure from the spatial structure. Using Hilsum-Skandalis maps between groupoids, we find that a groupoid presentation of a C* - algebra implies a monoidal structure on the category of representations. We decompose the spatial product of the cyclic modules over the rotation algebras as an example, and propose a conjecture that a quantum mirror symmetry lies behind the spatial structure and the Hopfish structure in the sense of Tang and Weinstein.

Subjects/Keywords: Mathematics; bundle; C*-algebra; noncommutative geometry; noncommutative tori; Poisson geometry; quantization

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APA (6^th Edition):

Do, H. D. (2013). MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/39b741zt

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Do, Hanh Duc. “MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY.” 2013. Thesis, University of California – Berkeley. Accessed March 06, 2021. http://www.escholarship.org/uc/item/39b741zt.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Do, Hanh Duc. “MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY.” 2013. Web. 06 Mar 2021.

Vancouver:

Do HD. MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Mar 06]. Available from: http://www.escholarship.org/uc/item/39b741zt.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Do HD. MONOIDAL STRUCTURE IN MIRROR SYMMETRY AND NONCOMMUTATIVE GEOMETRY. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/39b741zt

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Western Ontario

5. Moatadelro, Ali. Noncommutative complex geometry of quantum projective spaces.

Degree: 2011, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/229

► In this thesis, we study complex structures of quantum projectivespaces that was initiated in [19] for the quantum projective line, ℂP¹_q. In Chapters 2 and… (more)

Subjects/Keywords: Noncommutative geometry; noncommutative complex geometry; positive Hochschild cocycle; Mathematics

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APA (6^th Edition):

Moatadelro, A. (2011). Noncommutative complex geometry of quantum projective spaces. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/229

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Moatadelro, Ali. “Noncommutative complex geometry of quantum projective spaces.” 2011. Thesis, University of Western Ontario. Accessed March 06, 2021. https://ir.lib.uwo.ca/etd/229.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Moatadelro, Ali. “Noncommutative complex geometry of quantum projective spaces.” 2011. Web. 06 Mar 2021.

Vancouver:

Moatadelro A. Noncommutative complex geometry of quantum projective spaces. [Internet] [Thesis]. University of Western Ontario; 2011. [cited 2021 Mar 06]. Available from: https://ir.lib.uwo.ca/etd/229.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Moatadelro A. Noncommutative complex geometry of quantum projective spaces. [Thesis]. University of Western Ontario; 2011. Available from: https://ir.lib.uwo.ca/etd/229

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University

6. Yashinski, Allan Anthony. Periodic cyclic homology and smooth deformations.

Degree: 2013, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/18724

► Given a formal deformation of an algebra, Getzler defined a connection on the periodic cyclic homology of the deformation, which he called the Gauss-Manin connection.… (more)

Subjects/Keywords: deformations; cyclic homology; Gauss-Manin connection; noncommutative tori; noncommutative geometry

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APA (6^th Edition):

Yashinski, A. A. (2013). Periodic cyclic homology and smooth deformations. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/18724

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yashinski, Allan Anthony. “Periodic cyclic homology and smooth deformations.” 2013. Thesis, Penn State University. Accessed March 06, 2021. https://submit-etda.libraries.psu.edu/catalog/18724.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yashinski, Allan Anthony. “Periodic cyclic homology and smooth deformations.” 2013. Web. 06 Mar 2021.

Vancouver:

Yashinski AA. Periodic cyclic homology and smooth deformations. [Internet] [Thesis]. Penn State University; 2013. [cited 2021 Mar 06]. Available from: https://submit-etda.libraries.psu.edu/catalog/18724.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yashinski AA. Periodic cyclic homology and smooth deformations. [Thesis]. Penn State University; 2013. Available from: https://submit-etda.libraries.psu.edu/catalog/18724

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Alberta

7. Emelideme, Kingsley. Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry.

Degree: MS, Department of Physics, 2013, University of Alberta

URL: https://era.library.ualberta.ca/files/sq87bv65r

► :A study for a noncommutative (NC) black hole was performed using data recorded by the ATLAS detector using proton-proton collisions at a centre-of-mass energy of… (more)

Subjects/Keywords: Noncommutative geometry; LHC; Microscopic black holes; ATLAS

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APA (6^th Edition):

Emelideme, K. (2013). Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/sq87bv65r

Chicago Manual of Style (16^th Edition):

Emelideme, Kingsley. “Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry.” 2013. Masters Thesis, University of Alberta. Accessed March 06, 2021. https://era.library.ualberta.ca/files/sq87bv65r.

MLA Handbook (7^th Edition):

Emelideme, Kingsley. “Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry.” 2013. Web. 06 Mar 2021.

Vancouver:

Emelideme K. Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry. [Internet] [Masters thesis]. University of Alberta; 2013. [cited 2021 Mar 06]. Available from: https://era.library.ualberta.ca/files/sq87bv65r.

Council of Science Editors:

Emelideme K. Study of Microscopic Black Holes at the LHC using Noncommutative inspired Geometry. [Masters Thesis]. University of Alberta; 2013. Available from: https://era.library.ualberta.ca/files/sq87bv65r

8. Van Den Dungen, Koen. Lorentzian geometry and physics in Kasparov's theory .

Degree: 2015, Australian National University

URL: http://hdl.handle.net/1885/15240

► We study two geometric themes, Lorentzian geometry and gauge theory, from the perspective of Connes’ noncommutative geometry and (the unbounded version of) Kasparov’s KK-theory. Lorentzian… (more)

▼ We study two geometric themes, Lorentzian geometry and gauge theory, from the perspective of Connes’ noncommutative geometry and (the unbounded version of) Kasparov’s KK-theory. Lorentzian geometry is the mathematical framework underlying Einstein’s description of gravity. The geometric formulation of a gauge theory (in terms of principal bundles) offers a classical description for the interactions between particles. The underlying motivation is the hope that this noncommutative approach may lead to a unified description of gauge theories coupled with gravity on a Lorentzian manifold. The main objects in noncommutative geometry are spectral triples, which encompass and generalise Riemannian spin manifolds. A spectral triple defines a class in K-homology, via which one can access the topology of the (noncommutative) manifold. In this thesis we present two possible definitions for ‘Lorentian spectral triples’, which offer noncommutative generalisations of Lorentzian manifolds as well. We will prove that both definitions preserve the link with analytic K-homology. We will describe under which conditions Lorentzian (or pseudo- Riemannian) manifolds satisfy these definitions. Another main example is the harmonic oscillator, which in particular shows that our framework allows to deal with more than just metrics of indefinite signature. In the context of noncommutative geometry, the description of a gauge theory can be obtained from so-called almost-commutative manifolds. While the usual approach yields by default a topologically trivial gauge theory (in the sense that the corresponding principal fibre bundle is globally trivial), we show in this thesis that the framework can be adapted, using the internal unbounded Kasparov product, to allow for globally non-trivial gauge theories as well. Finally, we combine the two themes of Lorentzian geometry and gauge theory, and we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces. We use this definition to construct almost-commutative Lorentzian manifolds. Furthermore, we propose a Lorentzian alternative for the fermionic action, which allows to derive (the fermionic part of) the Lagrangian of a gauge theory. We show that our alternative action recovers exactly the correct physical Lagrangian.

Subjects/Keywords: Connes' noncommutative geometry; Kasparov's KK-theory; Lorentzian

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APA (6^th Edition):

Van Den Dungen, K. (2015). Lorentzian geometry and physics in Kasparov's theory . (Thesis). Australian National University. Retrieved from http://hdl.handle.net/1885/15240

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Van Den Dungen, Koen. “Lorentzian geometry and physics in Kasparov's theory .” 2015. Thesis, Australian National University. Accessed March 06, 2021. http://hdl.handle.net/1885/15240.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Van Den Dungen, Koen. “Lorentzian geometry and physics in Kasparov's theory .” 2015. Web. 06 Mar 2021.

Vancouver:

Van Den Dungen K. Lorentzian geometry and physics in Kasparov's theory . [Internet] [Thesis]. Australian National University; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1885/15240.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Van Den Dungen K. Lorentzian geometry and physics in Kasparov's theory . [Thesis]. Australian National University; 2015. Available from: http://hdl.handle.net/1885/15240

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

9. Sun, Chen. Constraining New Physics with Colliders and Neutrinos.

Degree: PhD, Physics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77923

► In this work, we examine how neutrino and collider experiments can each and together put constraints on new physics more stringently than ever. Constraints arise… (more)

▼ In this work, we examine how neutrino and collider experiments can each and together put constraints on new physics more stringently than ever. Constraints arise in three ways. First, possible new theoretical frameworks are reviewed and analyzed for the compatibility with collider experiments. We study alternate theories such as the superconnection formalism and non-commutative geometry (NCG) and show how these can be put to test, if any collider excess were to show up. In this case, we use the previous diboson and diphoton statistical excess as examples to do the analysis. Second, we parametrize low energy new physics in the neutrino sector in terms of non-standard interactions (NSI), which are constrained by past and proposed future neutrino experiments. As an example, we show the capability of resolving such NSI with the OscSNS, a detector proposed for Oak Ridge National Lab and derive interesting new constraints on NSI at very low energy ( ≤ sssim 50 MeV). Apart from this, in order to better understand the NSI matter effect in long baseline experiments such as the future DUNE experiment, we derive a new compact formula to describe the effect analytically, which provides a clear physical picture of our understanding of the NSI matter effect compared to numerical computations. Last, we discuss the possibility of combining neutrino and collider data to get a better understanding of where the new physics is hidden. In particular, we study a model that produces sizable NSI to show how they can be constrained by past collider data, which covers a distinct region of the model parameter space from the DUNE experiment. In combining the two, we show that neutrino experiments are complementary to collider searches in ruling out models such as the ones that utilize a light mediator particle. More general procedures in constructing such models relevant to neutrino experiments are also described. Advisors/Committee Members: Takeuchi, Tatsu (committeechair), Sharpe, Eric R. (committee member), Piilonen, Leo E. (committee member), Minic, Djordje (committee member).

Subjects/Keywords: New Physics; Collider; Neutrino; Noncommutative Geometry

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APA (6^th Edition):

Sun, C. (2017). Constraining New Physics with Colliders and Neutrinos. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77923

Chicago Manual of Style (16^th Edition):

Sun, Chen. “Constraining New Physics with Colliders and Neutrinos.” 2017. Doctoral Dissertation, Virginia Tech. Accessed March 06, 2021. http://hdl.handle.net/10919/77923.

MLA Handbook (7^th Edition):

Sun, Chen. “Constraining New Physics with Colliders and Neutrinos.” 2017. Web. 06 Mar 2021.

Vancouver:

Sun C. Constraining New Physics with Colliders and Neutrinos. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10919/77923.

Council of Science Editors:

Sun C. Constraining New Physics with Colliders and Neutrinos. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77923

Rutgers University

10. Krueger, August John, 1985-. Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates.

Degree: PhD, Physics and Astronomy, 2014, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/45320/

►

We consider the Schrödinger equation with a Hamiltonian given by a second order o diﬀerence operator with nonconstant growing coeﬃcients, on the half one dimensional… (more)

Subjects/Keywords: Noncommutative differential geometry; Spectral theory (Mathematics)

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APA (6^th Edition):

Krueger, August John, 1. (2014). Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/45320/

Chicago Manual of Style (16^th Edition):

Krueger, August John, 1985-. “Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates.” 2014. Doctoral Dissertation, Rutgers University. Accessed March 06, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/45320/.

MLA Handbook (7^th Edition):

Krueger, August John, 1985-. “Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates.” 2014. Web. 06 Mar 2021.

Vancouver:

Krueger, August John 1. Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates. [Internet] [Doctoral dissertation]. Rutgers University; 2014. [cited 2021 Mar 06]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/45320/.

Council of Science Editors:

Krueger, August John 1. Structure and dynamics of noncommutative solitons: spectral theory and dispersive estimates. [Doctoral Dissertation]. Rutgers University; 2014. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/45320/

Queen Mary, University of London

11. Ó Buachalla, Réamonn. Quantum groups and noncommutative complex geometry.

Degree: PhD, 2013, Queen Mary, University of London

URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8675 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667158

► Noncommutative Riemannian geometry is an area that has seen intense activity over the past 25 years. Despite this, noncommutative complex geometry is only now beginning… (more)

Subjects/Keywords: 516.3; Mathematics; Geometry; Noncommutative complex geometry; Quantum geometry

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APA (6^th Edition):

Ó Buachalla, R. (2013). Quantum groups and noncommutative complex geometry. (Doctoral Dissertation). Queen Mary, University of London. Retrieved from http://qmro.qmul.ac.uk/xmlui/handle/123456789/8675 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667158

Chicago Manual of Style (16^th Edition):

Ó Buachalla, Réamonn. “Quantum groups and noncommutative complex geometry.” 2013. Doctoral Dissertation, Queen Mary, University of London. Accessed March 06, 2021. http://qmro.qmul.ac.uk/xmlui/handle/123456789/8675 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667158.

MLA Handbook (7^th Edition):

Ó Buachalla, Réamonn. “Quantum groups and noncommutative complex geometry.” 2013. Web. 06 Mar 2021.

Vancouver:

Ó Buachalla R. Quantum groups and noncommutative complex geometry. [Internet] [Doctoral dissertation]. Queen Mary, University of London; 2013. [cited 2021 Mar 06]. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8675 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667158.

Council of Science Editors:

Ó Buachalla R. Quantum groups and noncommutative complex geometry. [Doctoral Dissertation]. Queen Mary, University of London; 2013. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8675 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667158

University of California – Berkeley

12. Peterka, Mira Alexander. Finitely-Generated Projective Modules over $theta$-deformed Spheres.

Degree: Mathematics, 2010, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/4cx22565

► We investigate the ``θ-deformed spheres" C(S³_θ) and C(S⁴_θ) for the case θ an irrational number. We show that all finitely-generated projective modules over C(S³_θ) are… (more)

Subjects/Keywords: Mathematics; Gauge Theory; K-theory; Noncommutative Geometry; Quantum Algebra

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APA (6^th Edition):

Peterka, M. A. (2010). Finitely-Generated Projective Modules over $theta$-deformed Spheres. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/4cx22565

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Peterka, Mira Alexander. “Finitely-Generated Projective Modules over $theta$-deformed Spheres.” 2010. Thesis, University of California – Berkeley. Accessed March 06, 2021. http://www.escholarship.org/uc/item/4cx22565.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Peterka, Mira Alexander. “Finitely-Generated Projective Modules over $theta$-deformed Spheres.” 2010. Web. 06 Mar 2021.

Vancouver:

Peterka MA. Finitely-Generated Projective Modules over $theta$-deformed Spheres. [Internet] [Thesis]. University of California – Berkeley; 2010. [cited 2021 Mar 06]. Available from: http://www.escholarship.org/uc/item/4cx22565.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Peterka MA. Finitely-Generated Projective Modules over $theta$-deformed Spheres. [Thesis]. University of California – Berkeley; 2010. Available from: http://www.escholarship.org/uc/item/4cx22565

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Vanderbilt University

13. Wu, Jianchao. The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds.

Degree: PhD, Mathematics, 2019, Vanderbilt University

URL: http://hdl.handle.net/1803/13472

► We prove that the Novikov conjecture is satisfied by any discrete torsion-free group admitting an isometric and metrically proper action on a non-positively curved complete… (more)

Subjects/Keywords: C*-algebras; K-theory; noncommutative geometry; Novikov conjecture

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APA (6^th Edition):

Wu, J. (2019). The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://hdl.handle.net/1803/13472

Chicago Manual of Style (16^th Edition):

Wu, Jianchao. “The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds.” 2019. Doctoral Dissertation, Vanderbilt University. Accessed March 06, 2021. http://hdl.handle.net/1803/13472.

MLA Handbook (7^th Edition):

Wu, Jianchao. “The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds.” 2019. Web. 06 Mar 2021.

Vancouver:

Wu J. The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds. [Internet] [Doctoral dissertation]. Vanderbilt University; 2019. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1803/13472.

Council of Science Editors:

Wu J. The Novikov Conjecture, the Group of Volume Preserving Diffeomorphisms and Non-Positively Curved Hilbert Manifolds. [Doctoral Dissertation]. Vanderbilt University; 2019. Available from: http://hdl.handle.net/1803/13472

University of Wollongong

14. Andersson, Andreas. The noncommutative Gohberg-Krein theorem.

Degree: Doctor of Philosophy, 2015, University of Wollongong

URL: 010103 Category Theory, K Theory, Homological Algebra, 010108 Operator Algebras and Functional Analysis, 010199 Pure Mathematics not elsewhere classified, 010501 Algebraic Structures in Mathematical Physics ; https://ro.uow.edu.au/theses/4565

► We prove a noncommutative higher-dimensional generalization of the classical Gohberg- Krein theorem. The latter says that the index of a Toeplitz operator acting on… (more)

Subjects/Keywords: Noncommutative geometry; operator algebras; k-theory; Toepltiz operators

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APA (6^th Edition):

Andersson, A. (2015). The noncommutative Gohberg-Krein theorem. (Doctoral Dissertation). University of Wollongong. Retrieved from 010103 Category Theory, K Theory, Homological Algebra, 010108 Operator Algebras and Functional Analysis, 010199 Pure Mathematics not elsewhere classified, 010501 Algebraic Structures in Mathematical Physics ; https://ro.uow.edu.au/theses/4565

Chicago Manual of Style (16^th Edition):

Andersson, Andreas. “The noncommutative Gohberg-Krein theorem.” 2015. Doctoral Dissertation, University of Wollongong. Accessed March 06, 2021. 010103 Category Theory, K Theory, Homological Algebra, 010108 Operator Algebras and Functional Analysis, 010199 Pure Mathematics not elsewhere classified, 010501 Algebraic Structures in Mathematical Physics ; https://ro.uow.edu.au/theses/4565.

MLA Handbook (7^th Edition):

Andersson, Andreas. “The noncommutative Gohberg-Krein theorem.” 2015. Web. 06 Mar 2021.

Vancouver:

Andersson A. The noncommutative Gohberg-Krein theorem. [Internet] [Doctoral dissertation]. University of Wollongong; 2015. [cited 2021 Mar 06]. Available from: 010103 Category Theory, K Theory, Homological Algebra, 010108 Operator Algebras and Functional Analysis, 010199 Pure Mathematics not elsewhere classified, 010501 Algebraic Structures in Mathematical Physics ; https://ro.uow.edu.au/theses/4565.

Council of Science Editors:

Andersson A. The noncommutative Gohberg-Krein theorem. [Doctoral Dissertation]. University of Wollongong; 2015. Available from: 010103 Category Theory, K Theory, Homological Algebra, 010108 Operator Algebras and Functional Analysis, 010199 Pure Mathematics not elsewhere classified, 010501 Algebraic Structures in Mathematical Physics ; https://ro.uow.edu.au/theses/4565

Univerzitet u Beogradu

15. Nenadović, Luka V., 1979-. Особине класичне и квантне теорије поља на закривљеном некомутативном простору.

Degree: Fizički fakultet, 2018, Univerzitet u Beogradu

URL: https://fedorabg.bg.ac.rs/fedora/get/o:17648/bdef:Content/get

►

Fizika - Teorijska fizika visokih energija / Physics - Theoretical high energy physics

Posle kratakog istorijskog prikaza razvoja nekomutativne geometrije i upoznavaa sa osnovnim osobinama… (more)

Subjects/Keywords: noncommutative geometry; quantum field theory; gauge theory; renormalization; curved space

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APA (6^th Edition):

Nenadović, Luka V., 1. (2018). Особине класичне и квантне теорије поља на закривљеном некомутативном простору. (Thesis). Univerzitet u Beogradu. Retrieved from https://fedorabg.bg.ac.rs/fedora/get/o:17648/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nenadović, Luka V., 1979-. “Особине класичне и квантне теорије поља на закривљеном некомутативном простору.” 2018. Thesis, Univerzitet u Beogradu. Accessed March 06, 2021. https://fedorabg.bg.ac.rs/fedora/get/o:17648/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nenadović, Luka V., 1979-. “Особине класичне и квантне теорије поља на закривљеном некомутативном простору.” 2018. Web. 06 Mar 2021.

Vancouver:

Nenadović, Luka V. 1. Особине класичне и квантне теорије поља на закривљеном некомутативном простору. [Internet] [Thesis]. Univerzitet u Beogradu; 2018. [cited 2021 Mar 06]. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:17648/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nenadović, Luka V. 1. Особине класичне и квантне теорије поља на закривљеном некомутативном простору. [Thesis]. Univerzitet u Beogradu; 2018. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:17648/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Washington

16. McMurdie, Christopher Robert. The C*-algebra of a finite T_0 topological space.

Degree: PhD, 2015, University of Washington

URL: http://hdl.handle.net/1773/34025

► We are concerned with the following motivating question: how can one extend the classical Gelfand-Naimark theorem to the simplest non-Hausdorff topological spaces? Our model space… (more)

Subjects/Keywords: algebra; bimodule; geometry; Hilbert; noncommutative; poset; Mathematics; mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

McMurdie, C. R. (2015). The C*-algebra of a finite T_0 topological space. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/34025

Chicago Manual of Style (16^th Edition):

McMurdie, Christopher Robert. “The C*-algebra of a finite T_0 topological space.” 2015. Doctoral Dissertation, University of Washington. Accessed March 06, 2021. http://hdl.handle.net/1773/34025.

MLA Handbook (7^th Edition):

McMurdie, Christopher Robert. “The C*-algebra of a finite T_0 topological space.” 2015. Web. 06 Mar 2021.

Vancouver:

McMurdie CR. The C*-algebra of a finite T_0 topological space. [Internet] [Doctoral dissertation]. University of Washington; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1773/34025.

Council of Science Editors:

McMurdie CR. The C*-algebra of a finite T_0 topological space. [Doctoral Dissertation]. University of Washington; 2015. Available from: http://hdl.handle.net/1773/34025

Australian National University

17. Bourne, Christopher. Topological states of matter and noncommutative geometry .

Degree: 2015, Australian National University

URL: http://hdl.handle.net/1885/16960

► This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum… (more)

Subjects/Keywords: Noncommutative geometry; KK-theory; topological insulators; topological phases

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APA (6^th Edition):

Bourne, C. (2015). Topological states of matter and noncommutative geometry . (Thesis). Australian National University. Retrieved from http://hdl.handle.net/1885/16960

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bourne, Christopher. “Topological states of matter and noncommutative geometry .” 2015. Thesis, Australian National University. Accessed March 06, 2021. http://hdl.handle.net/1885/16960.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bourne, Christopher. “Topological states of matter and noncommutative geometry .” 2015. Web. 06 Mar 2021.

Vancouver:

Bourne C. Topological states of matter and noncommutative geometry . [Internet] [Thesis]. Australian National University; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1885/16960.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bourne C. Topological states of matter and noncommutative geometry . [Thesis]. Australian National University; 2015. Available from: http://hdl.handle.net/1885/16960

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Tartu University

18. Bazunova, Nadezda. Differential calculus d3 = 0 on binary and ternary associative algebras .

Degree: 2011, Tartu University

URL: http://hdl.handle.net/10062/18102

► Antud väitekiri on pühendatud mittekommutatiivse geomeetria raames tekkinud diferent-siaalarvutusele diferentsiaaliga d, mis rahuldab tingimust d³=0. Antud diferentsiaalarvutus tugineb gradueeritud Q-diferentsiaalalgebra mõistele, kus Q on kuupjuur… (more)

▼ Antud väitekiri on pühendatud mittekommutatiivse geomeetria raames tekkinud diferent-siaalarvutusele diferentsiaaliga d, mis rahuldab tingimust d³=0. Antud diferentsiaalarvutus tugineb gradueeritud Q-diferentsiaalalgebra mõistele, kus Q on kuupjuur ühest. Gradueeritud Q-diferentsiaalalgebrat võib vaadelda gradueeritud diferentsiaalalgebra üldistusena, kusjuures gradueeritud diferentsiaalalgebrad mängivad tähtsat rolli nii kaasaegses diferentsiaalgeomeet- rias kui ka väljateooriates. Esimeses peatükis antakse esimest järku diferentsiaalarvutuse assotsiatiivsetel algebratel de-tailne kirjeldus, seejärel vaadeldakse koordinaatdiferentsiaalarvutust, mis tekib juhul, kui al-gebra A on lõplikult tekitatud algebra ja A-bimoodul M kui parempoolne A-moodul on vaba. Näidatakse, et koordinaatdiferentsiaalarvutuse korral diferentsiaal d tekitab parempoolsed osatuletised algebral A, mis rahuldavad teatud homomorfismiga deformeeritud Leibnizi vale-mit. Antakse universaalse esimest järku diferentsiaalarvutuse ja gradueeritud diferentsiaal-algebra struktuuri detailne kirjeldus. Teises peatükis uuritakse gradueeritud diferentsiaalalgebra üldistust, mis tekkis mittekommu-tatiivse geomeetria raames 1990-ndatel aastatel. Seda üldistust nimetatakse gradueeritud q-di-ferentsiaalalgebraks ja teises peatükis antakse selle üldistuse definitsioon. Gradueeritud q-di-ferentsiaalalgebra diferentsiaal d rahuldab tingimust d^N=0, kus N≠2. Teises peatükis on vaa-deldud esimest mittetriviaalset üldistust, kus q on kuupjuur ühest ja diferentsiaal rahuldab d³=0. Gradueeritud Q-diferentsiaalalgebra rakendustes mittekommutatiivses geomeetrias ja teoreetilises füüsikas on tähtis probleem, kuidas konstrueerida gradueeritud q-diferentsiaal-algebra, kui on antud esimest järku diferentsiaalarvutus assotsiatiivsel algebral. Teises peatü-kis näidatakse, kuidas konstrueerida gradueeritud Q-diferentsiaalalgebrat, kui on antud esi-mest järku diferentsiaalarvutus algebral, mis on lõplikult tekitatud teatuid seoseid rahuldavate moodustajate poolt. Kolmandas peatükis rakendatakse teises peatükis välja töötatud meetodit diferentsiaalvormi-de algebra analoogi konstrueerimiseks järgmistel ruumidel: anioonilisel (anyonic) ühedimen-sionaalsel ruumil, ruutalgebral, h-deformeeritud kvanttasandil, q-deformeeritud kvanttasandil. On antud diferentsiaalvormide algebra analoogi detailne kirjeldus, kusjuures on leitud kõik kommutatsiooniseosed koordinaatide ja nende diferentsiaalide vahel. Ühedimensionaalse ruu-mi korral on näidatud, et diferentsiaalvormide algebra struktuuri erinevad komponendid on kooskõlas, kui ühedimensionaalne ruum on aniooniline. On näidatud, et anioonilise ruumi korral diferentsiaalvormide algebra analoog sisaldab esimest järku diferentsiaalarvutust, mida kasutatakse murdsupersümmeetrilistes teooriates. Viimases peatükis vaadeldakse diferentsiaalarvutust d³=0 ternaarsetel algebratel. On antud ternaarse algebra struktuuri ja sellega seotud mõistete (ternaarne assotsiatiivsus, involutsioon, struktuurikonstandid) lühikirjeldus. On…

Subjects/Keywords: mittekommutatiivne algebra; diferentsisaalgeomeetria; diferentsiaalarvutus; noncommutative algebra; differential geometry; differential calculus

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bazunova, N. (2011). Differential calculus d3 = 0 on binary and ternary associative algebras . (Thesis). Tartu University. Retrieved from http://hdl.handle.net/10062/18102

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bazunova, Nadezda. “Differential calculus d3 = 0 on binary and ternary associative algebras .” 2011. Thesis, Tartu University. Accessed March 06, 2021. http://hdl.handle.net/10062/18102.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bazunova, Nadezda. “Differential calculus d3 = 0 on binary and ternary associative algebras .” 2011. Web. 06 Mar 2021.

Vancouver:

Bazunova N. Differential calculus d3 = 0 on binary and ternary associative algebras . [Internet] [Thesis]. Tartu University; 2011. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10062/18102.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bazunova N. Differential calculus d3 = 0 on binary and ternary associative algebras . [Thesis]. Tartu University; 2011. Available from: http://hdl.handle.net/10062/18102

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Texas – Austin

19. Wong, Michael Andrew. Dimer models and Hochschild cohomology.

Degree: PhD, Mathematics, 2018, University of Texas – Austin

URL: http://hdl.handle.net/2152/68467

► Dimer models have appeared in the context of noncommutative crepant resolutions and homological mirror symmetry for punctured Riemann surfaces. For a zigzag consistent dimer embedded… (more)

Subjects/Keywords: Dimer models; Matrix factorizations; Hochschild cohomology; Mirror symmetry; Noncommutative geometry

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wong, M. A. (2018). Dimer models and Hochschild cohomology. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/68467

Chicago Manual of Style (16^th Edition):

Wong, Michael Andrew. “Dimer models and Hochschild cohomology.” 2018. Doctoral Dissertation, University of Texas – Austin. Accessed March 06, 2021. http://hdl.handle.net/2152/68467.

MLA Handbook (7^th Edition):

Wong, Michael Andrew. “Dimer models and Hochschild cohomology.” 2018. Web. 06 Mar 2021.

Vancouver:

Wong MA. Dimer models and Hochschild cohomology. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2018. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2152/68467.

Council of Science Editors:

Wong MA. Dimer models and Hochschild cohomology. [Doctoral Dissertation]. University of Texas – Austin; 2018. Available from: http://hdl.handle.net/2152/68467

University of Texas – Austin

20. Ganev, Iordan Venelinov. The wonderful compactification for quantum groups.

Degree: PhD, Mathematics, 2016, University of Texas – Austin

URL: http://hdl.handle.net/2152/43716

► This thesis studies the asymptotics of quantum groups using an approach centered on the wonderful compactification. The wonderful compactification of a semisimple group was introduced… (more)

Subjects/Keywords: Quantum groups; Noncommutative geometry; Compactification; Wonderful variety; Matrix coefficients; Differential operators

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ganev, I. V. (2016). The wonderful compactification for quantum groups. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/43716

Chicago Manual of Style (16^th Edition):

Ganev, Iordan Venelinov. “The wonderful compactification for quantum groups.” 2016. Doctoral Dissertation, University of Texas – Austin. Accessed March 06, 2021. http://hdl.handle.net/2152/43716.

MLA Handbook (7^th Edition):

Ganev, Iordan Venelinov. “The wonderful compactification for quantum groups.” 2016. Web. 06 Mar 2021.

Vancouver:

Ganev IV. The wonderful compactification for quantum groups. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2016. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2152/43716.

Council of Science Editors:

Ganev IV. The wonderful compactification for quantum groups. [Doctoral Dissertation]. University of Texas – Austin; 2016. Available from: http://hdl.handle.net/2152/43716

University of New South Wales

21. Bowne-Anderson , Hugo. The explicit construction of orders on surfaces.

Degree: Mathematics & Statistics, 2011, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/50907 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:9801/SOURCE02?view=true

► The study of orders over surfaces is an integral aspect of noncommutative algebraicgeometry. Although there is a substantial amount known about orders,relatively few concrete examples… (more)

Subjects/Keywords: Numerically Calabi-Yau; Orders; Projective surfaces; Noncommutative; Algebraic geometry

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APA (6^th Edition):

Bowne-Anderson , H. (2011). The explicit construction of orders on surfaces. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/50907 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:9801/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Bowne-Anderson , Hugo. “The explicit construction of orders on surfaces.” 2011. Doctoral Dissertation, University of New South Wales. Accessed March 06, 2021. http://handle.unsw.edu.au/1959.4/50907 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:9801/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Bowne-Anderson , Hugo. “The explicit construction of orders on surfaces.” 2011. Web. 06 Mar 2021.

Vancouver:

Bowne-Anderson H. The explicit construction of orders on surfaces. [Internet] [Doctoral dissertation]. University of New South Wales; 2011. [cited 2021 Mar 06]. Available from: http://handle.unsw.edu.au/1959.4/50907 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:9801/SOURCE02?view=true.

Council of Science Editors:

Bowne-Anderson H. The explicit construction of orders on surfaces. [Doctoral Dissertation]. University of New South Wales; 2011. Available from: http://handle.unsw.edu.au/1959.4/50907 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:9801/SOURCE02?view=true

University of New South Wales

22. Lerner, Boris. Line bundles and curves on a del Pezzo order.

Degree: Mathematics & Statistics, 2012, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/51951 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10621/SOURCE02?view=true

► Orders on surfaces provided a rich source of examples of noncommutative surfaces. The existence of the analogue of the Picard scheme for orders, has previously… (more)

Subjects/Keywords: Picard scheme; Noncommutative algebraic geometry; Hilbert scheme; Line bundle

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APA (6^th Edition):

Lerner, B. (2012). Line bundles and curves on a del Pezzo order. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/51951 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10621/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Lerner, Boris. “Line bundles and curves on a del Pezzo order.” 2012. Doctoral Dissertation, University of New South Wales. Accessed March 06, 2021. http://handle.unsw.edu.au/1959.4/51951 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10621/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Lerner, Boris. “Line bundles and curves on a del Pezzo order.” 2012. Web. 06 Mar 2021.

Vancouver:

Lerner B. Line bundles and curves on a del Pezzo order. [Internet] [Doctoral dissertation]. University of New South Wales; 2012. [cited 2021 Mar 06]. Available from: http://handle.unsw.edu.au/1959.4/51951 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10621/SOURCE02?view=true.

Council of Science Editors:

Lerner B. Line bundles and curves on a del Pezzo order. [Doctoral Dissertation]. University of New South Wales; 2012. Available from: http://handle.unsw.edu.au/1959.4/51951 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10621/SOURCE02?view=true

Rutgers University

23. Leung, Wing Fung. A response theory of topological insulators.

Degree: Physics and Astronomy, 2013, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/41818/

Subjects/Keywords: Topological spaces; Noncommutative differential geometry

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Leung, W. F. (2013). A response theory of topological insulators. (Thesis). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/41818/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Leung, Wing Fung. “A response theory of topological insulators.” 2013. Thesis, Rutgers University. Accessed March 06, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/41818/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Leung, Wing Fung. “A response theory of topological insulators.” 2013. Web. 06 Mar 2021.

Vancouver:

Leung WF. A response theory of topological insulators. [Internet] [Thesis]. Rutgers University; 2013. [cited 2021 Mar 06]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/41818/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Leung WF. A response theory of topological insulators. [Thesis]. Rutgers University; 2013. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/41818/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Florida Atlantic University

24. Bulj, Djordje. A study of divisors and algebras on a double cover of the affine plane.

Degree: PhD, 2012, Florida Atlantic University

URL: http://purl.flvc.org/FAU/3355618

►

Summary: An algebraic surface defined by an equation of the form z2 = (x+a1y) ... (x + any) (x - 1) is studied, from both… (more)

Subjects/Keywords: Algebraic number theory; Geometry – Data processing; Noncommutative differential geometry; Mathematical physics; Curves, Algebraic; Commutative rings

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APA (6^th Edition):

Bulj, D. (2012). A study of divisors and algebras on a double cover of the affine plane. (Doctoral Dissertation). Florida Atlantic University. Retrieved from http://purl.flvc.org/FAU/3355618

Chicago Manual of Style (16^th Edition):

Bulj, Djordje. “A study of divisors and algebras on a double cover of the affine plane.” 2012. Doctoral Dissertation, Florida Atlantic University. Accessed March 06, 2021. http://purl.flvc.org/FAU/3355618.

MLA Handbook (7^th Edition):

Bulj, Djordje. “A study of divisors and algebras on a double cover of the affine plane.” 2012. Web. 06 Mar 2021.

Vancouver:

Bulj D. A study of divisors and algebras on a double cover of the affine plane. [Internet] [Doctoral dissertation]. Florida Atlantic University; 2012. [cited 2021 Mar 06]. Available from: http://purl.flvc.org/FAU/3355618.

Council of Science Editors:

Bulj D. A study of divisors and algebras on a double cover of the affine plane. [Doctoral Dissertation]. Florida Atlantic University; 2012. Available from: http://purl.flvc.org/FAU/3355618

University of Michigan

25. Walton, Chelsea M. On Degenerations and Deformations of Sklyanin Algebras.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86397

► A subfield of noncommutative algebra, entitled noncommutative projective algebraic geometry, was launched in the 1980s through Michael Artin, John Tate, William Schelter, and Michel van… (more)

▼ A subfield of noncommutative algebra, entitled noncommutative projective algebraic geometry, was launched in the 1980s through Michael Artin, John Tate, William Schelter, and Michel van den Bergh's classification of noncommutative projective spaces. The toughest challenge was the investigation of three-dimensional Sklyanin algebras, denoted Skly3. The ring-theoretic and homological behavior of Skly3 could not be determined using purely algebraic techniques and the geometry of smooth projective curves was surprisingly used to achieve the desired classification results. In this dissertation, we employ variants of Skly3 to broaden both the class of noncommutative algebras and the type of geometric data featured in the theory of this rapidly expanding field. Traditional techniques of this area study noncommutative graded algebras with use of projective geometric data of finite type. Even so, our research objectives include: (1) the analysis of degenerate three-dimensional Sklyanin algebras, S(deg), which are associated to geometric data not of finite type, and; (2) the study of the representation theory of ungraded deformations, S(def), of Skly3. We have completed problem (1), details of which are provided in Chapter 3 of this dissertation. Namely, we conclude that the geometry of S(deg) yields an analogue to a result of Artin-Tate-van den Bergh, namely that a generalized twisted homogeneous coordinate ring arises as a factor of S(deg). This has resulted in several open problems regarding noncommutative graded rings and corresponding noncommutative coordinate rings; such further directions are also discussed in Chapter 3. We only give a partial answer to problem (2), yet this is still sufficient as the work has several consequences not only for the advancement of the representation theory of noncommutative algebras, but also for Berenstein et al.'s study of noncommutative vacua in string theory. In particular, we present results on the dimensions of (not necessarily graded) simple finite-dimensional modules of Skly3 in Chapter 4. We also analyze the representation theory of a central extension D of Skly3 in Chapter 5 by investigating the existence of fat point modules over D and the structure of the center of D. This is all with a view towards understanding the irreducible finite-dimensional representations of S(def). Advisors/Committee Members: Smith, Karen E. (committee member), Stafford, J. Tobias (committee member), Derksen, Hendrikus Gerardus (committee member), Hochster, Melvin (committee member), Pando Zayas, Leopoldo A. (committee member).

Subjects/Keywords: Noncommutative Algebra; Noncommutative Algebraic Geometry; Representation Theory; Sklyanin Algebra; Degenerate Sklyanin Algebra; Deformed Sklyanin Algebra; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Walton, C. M. (2011). On Degenerations and Deformations of Sklyanin Algebras. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86397

Chicago Manual of Style (16^th Edition):

Walton, Chelsea M. “On Degenerations and Deformations of Sklyanin Algebras.” 2011. Doctoral Dissertation, University of Michigan. Accessed March 06, 2021. http://hdl.handle.net/2027.42/86397.

MLA Handbook (7^th Edition):

Walton, Chelsea M. “On Degenerations and Deformations of Sklyanin Algebras.” 2011. Web. 06 Mar 2021.

Vancouver:

Walton CM. On Degenerations and Deformations of Sklyanin Algebras. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2027.42/86397.

Council of Science Editors:

Walton CM. On Degenerations and Deformations of Sklyanin Algebras. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86397

University of Adelaide

26. Rennie, Adam Charles. Noncommutative spin geometry / by Adam Rennie.

Degree: 2001, University of Adelaide

URL: http://hdl.handle.net/2440/21674

Subjects/Keywords: Noncommutative algebras.; Noncommutative rings.; Geometry, Algebraic.; K-theory.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Rennie, A. C. (2001). Noncommutative spin geometry / by Adam Rennie. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/21674

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Rennie, Adam Charles. “Noncommutative spin geometry / by Adam Rennie.” 2001. Thesis, University of Adelaide. Accessed March 06, 2021. http://hdl.handle.net/2440/21674.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Rennie, Adam Charles. “Noncommutative spin geometry / by Adam Rennie.” 2001. Web. 06 Mar 2021.

Vancouver:

Rennie AC. Noncommutative spin geometry / by Adam Rennie. [Internet] [Thesis]. University of Adelaide; 2001. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2440/21674.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rennie AC. Noncommutative spin geometry / by Adam Rennie. [Thesis]. University of Adelaide; 2001. Available from: http://hdl.handle.net/2440/21674

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université Paris-Sud – Paris XI

27. Cagnache, Eric. Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics.

Degree: Docteur es, Physique mathématique, 2012, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2012PA112115

►

La géométrie non commutative, du fait qu'elle permet de généraliser des objets géométriques sous forme algébrique, offre des perspectives intéressantes pour réunir la théorie quantique… (more)

Subjects/Keywords: Géométrie non commutative; Triplets spectraux; Espace de Moyal; Tore non commutatif; Distance; Noncommutative geometry; Spectral triples; Moyal space; Noncommutative torus; Distance

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cagnache, E. (2012). Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2012PA112115

Chicago Manual of Style (16^th Edition):

Cagnache, Eric. “Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics.” 2012. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed March 06, 2021. http://www.theses.fr/2012PA112115.

MLA Handbook (7^th Edition):

Cagnache, Eric. “Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics.” 2012. Web. 06 Mar 2021.

Vancouver:

Cagnache E. Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2012. [cited 2021 Mar 06]. Available from: http://www.theses.fr/2012PA112115.

Council of Science Editors:

Cagnache E. Aspects différentiels et métriques de la géométrie non commutative : application à la physique : Aspects of the metric and differential noncommutative geometry : application to physics. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2012. Available from: http://www.theses.fr/2012PA112115

University of Western Ontario

28. Wilson, Mitsuru. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.

Degree: 2016, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/3937

► We introduce a pseudo-Riemannian calculus of modules over noncommutative al- gebras in order to investigate to what extent the differential geometry of classical Riemannian manifolds… (more)

Subjects/Keywords: Curvature; Gauss-Bonnet-Chern theorem; Levi-Civita connection; noncommutative 4-sphere; noncommutative geometry; noncommutative 3-sphere; non- commutative toric manifolds; pseudo-Riemannian calculus.; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wilson, M. (2016). Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/3937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wilson, Mitsuru. “Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.” 2016. Thesis, University of Western Ontario. Accessed March 06, 2021. https://ir.lib.uwo.ca/etd/3937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wilson, Mitsuru. “Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere.” 2016. Web. 06 Mar 2021.

Vancouver:

Wilson M. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. [Internet] [Thesis]. University of Western Ontario; 2016. [cited 2021 Mar 06]. Available from: https://ir.lib.uwo.ca/etd/3937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wilson M. Gauss-Bonnet-Chern type theorem for the noncommutative four-sphere. [Thesis]. University of Western Ontario; 2016. Available from: https://ir.lib.uwo.ca/etd/3937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Western Ontario

29. Dong, Rui. Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization.

Degree: 2019, University of Western Ontario

URL: https://ir.lib.uwo.ca/etd/6294

► In noncommutative geometry, the metric information of a noncommutative space is encoded in the data of a spectral triple (𝓐, \mathcal{H},D), where D plays the… (more)

Subjects/Keywords: Noncommutative Geometry; Spectral Triples; Second Quantization; Spectral Geometry; Differential Geometry; Modified Bessel Functions; Chemical Potential; Entropy; Ricci Curvature; Scalar Curvature; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dong, R. (2019). Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization. (Thesis). University of Western Ontario. Retrieved from https://ir.lib.uwo.ca/etd/6294

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Dong, Rui. “Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization.” 2019. Thesis, University of Western Ontario. Accessed March 06, 2021. https://ir.lib.uwo.ca/etd/6294.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Dong, Rui. “Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization.” 2019. Web. 06 Mar 2021.

Vancouver:

Dong R. Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization. [Internet] [Thesis]. University of Western Ontario; 2019. [cited 2021 Mar 06]. Available from: https://ir.lib.uwo.ca/etd/6294.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dong R. Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization. [Thesis]. University of Western Ontario; 2019. Available from: https://ir.lib.uwo.ca/etd/6294

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

30. Tucker-Simmons, Matthew Bruce. Quantum Algebras Associated to Irreducible Generalized Flag Manifolds.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/6rp9b9g1

► The first part of this thesis deals with certain properties of the quantum symmetric and exterior algebras of Type 1 representations of U_q(g) defined by… (more)

Subjects/Keywords: Mathematics; Clifford algebras; Noncommutative geometry; Quantum groups; Quantum homogeneous spaces; Symmetric and exterior algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tucker-Simmons, M. B. (2013). Quantum Algebras Associated to Irreducible Generalized Flag Manifolds. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/6rp9b9g1

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tucker-Simmons, Matthew Bruce. “Quantum Algebras Associated to Irreducible Generalized Flag Manifolds.” 2013. Thesis, University of California – Berkeley. Accessed March 06, 2021. http://www.escholarship.org/uc/item/6rp9b9g1.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tucker-Simmons, Matthew Bruce. “Quantum Algebras Associated to Irreducible Generalized Flag Manifolds.” 2013. Web. 06 Mar 2021.

Vancouver:

Tucker-Simmons MB. Quantum Algebras Associated to Irreducible Generalized Flag Manifolds. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Mar 06]. Available from: http://www.escholarship.org/uc/item/6rp9b9g1.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tucker-Simmons MB. Quantum Algebras Associated to Irreducible Generalized Flag Manifolds. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/6rp9b9g1

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations