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You searched for subject:(Dirac operators). Showing records 1 – 11 of 11 total matches.

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1. Beheshti Vadeqan, Babak. Geometry of Dirac Operators .

Degree: Mathematics and Statistics, 2016, Queens University

 Let M be a compact, oriented, even dimensional Riemannian manifold and let S be a Clifford bundle over M with Dirac operator D. Then [… (more)

Subjects/Keywords: Atiyah-Singer Index Theorem ; Dirac Operators ; Elliptic Geometry

…this thesis to show that elliptic operators and specifically Dirac operators contain certain… …Dirac operators. We shall also see that the study of Dirac operators reveals some… …a more general type of elliptic differential operators which are said to be Dirac type… …operators called Dirac operators. In this thesis we are planning to study this type of operators… …Dirac operators on manifolds. We will start by introducing Clifford algebras and their… 

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

APA (6th Edition):

Beheshti Vadeqan, B. (2016). Geometry of Dirac Operators . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/14633

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

Chicago Manual of Style (16th Edition):

Beheshti Vadeqan, Babak. “Geometry of Dirac Operators .” 2016. Thesis, Queens University. Accessed March 04, 2021. http://hdl.handle.net/1974/14633.

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

MLA Handbook (7th Edition):

Beheshti Vadeqan, Babak. “Geometry of Dirac Operators .” 2016. Web. 04 Mar 2021.

Vancouver:

Beheshti Vadeqan B. Geometry of Dirac Operators . [Internet] [Thesis]. Queens University; 2016. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/1974/14633.

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

Council of Science Editors:

Beheshti Vadeqan B. Geometry of Dirac Operators . [Thesis]. Queens University; 2016. Available from: http://hdl.handle.net/1974/14633

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


ETH Zürich

2. Farinelli, S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.

Degree: 1998, ETH Zürich

Subjects/Keywords: DIRAC-OPERATOREN (FUNKTIONALANALYSIS); RIEMANNSCHE MANNIGFALTIGKEITEN (TOPOLOGIE); DIRAC OPERATORS (FUNCTIONAL ANALYSIS); RIEMANNIAN MANIFOLDS (TOPOLOGY); info:eu-repo/classification/ddc/510; info:eu-repo/classification/ddc/510; info:eu-repo/classification/ddc/510; Mathematics; Mathematics; Mathematics

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APA (6th Edition):

Farinelli, S. (1998). Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/143641

Chicago Manual of Style (16th Edition):

Farinelli, S. “Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.” 1998. Doctoral Dissertation, ETH Zürich. Accessed March 04, 2021. http://hdl.handle.net/20.500.11850/143641.

MLA Handbook (7th Edition):

Farinelli, S. “Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.” 1998. Web. 04 Mar 2021.

Vancouver:

Farinelli S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. [Internet] [Doctoral dissertation]. ETH Zürich; 1998. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/20.500.11850/143641.

Council of Science Editors:

Farinelli S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. [Doctoral Dissertation]. ETH Zürich; 1998. Available from: http://hdl.handle.net/20.500.11850/143641

3. Klaasse, R.L. Seiberg-Witten theory for symplectic manifolds.

Degree: 2013, Universiteit Utrecht

 In this thesis we give an introduction to Seiberg-Witten gauge theory used to study compact oriented four-dimensional manifolds X. Seiberg-Witten theory uses a Spin c… (more)

Subjects/Keywords: Seiberg-Witten theory; four-manifolds; symplectic manifolds; Spin c structures; Dirac operators

…forms, so that we are done. 2.4 Elliptic operators In this section we discuss the notion of… …analogous notion for operators between sections of vector bundles. Definition 2.4.2. An operator D… …of Fredholm operators is that their index is invariant under perturbations. In other words… …if one were to take a family of Fredholm operators parameterized by some connected… …Fredholmness of operators and calculating their index. A key concept is that of ellipticity. Let π… 

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APA (6th Edition):

Klaasse, R. L. (2013). Seiberg-Witten theory for symplectic manifolds. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/282753

Chicago Manual of Style (16th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Masters Thesis, Universiteit Utrecht. Accessed March 04, 2021. http://dspace.library.uu.nl:8080/handle/1874/282753.

MLA Handbook (7th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Web. 04 Mar 2021.

Vancouver:

Klaasse RL. Seiberg-Witten theory for symplectic manifolds. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Mar 04]. Available from: http://dspace.library.uu.nl:8080/handle/1874/282753.

Council of Science Editors:

Klaasse RL. Seiberg-Witten theory for symplectic manifolds. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/282753


University of Michigan

4. Korpas, Levente. Quantization of symplectic cobordisms.

Degree: PhD, Pure Sciences, 1999, University of Michigan

 In this work we construct a unitary operator acting between Spin c quantizations of compact integral symplectic manifolds which are symplectically cobordant. The construction is… (more)

Subjects/Keywords: Cobordisms; Dirac Operators; Quantization; Symplectic Manifolds

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APA (6th Edition):

Korpas, L. (1999). Quantization of symplectic cobordisms. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/131922

Chicago Manual of Style (16th Edition):

Korpas, Levente. “Quantization of symplectic cobordisms.” 1999. Doctoral Dissertation, University of Michigan. Accessed March 04, 2021. http://hdl.handle.net/2027.42/131922.

MLA Handbook (7th Edition):

Korpas, Levente. “Quantization of symplectic cobordisms.” 1999. Web. 04 Mar 2021.

Vancouver:

Korpas L. Quantization of symplectic cobordisms. [Internet] [Doctoral dissertation]. University of Michigan; 1999. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/2027.42/131922.

Council of Science Editors:

Korpas L. Quantization of symplectic cobordisms. [Doctoral Dissertation]. University of Michigan; 1999. Available from: http://hdl.handle.net/2027.42/131922

5. Lal, Nishu. Spectral Zeta Functions of Laplacians on Self-Similar Fractals.

Degree: Mathematics, 2012, University of California – Riverside

 This thesis investigates the spectral zeta function of fractal differential operators such as the Laplacian on the unbounded (i.e., infinite) Sierpinski gasket and a self-similar… (more)

Subjects/Keywords: Mathematics; Analysis on fractals; decimation method; Dirac delta hyperfunction; fractal Sturm-Liouville operators; multivariable complex dynamics; spectral zeta functions

…the spectral zeta function of fractal differential operators such as the Laplacian on the… …the spectral zeta function of such an operator, expressed in terms of the Dirac delta… …variables associated with fractal Sturm–Liouville operators. Moreover, as a corollary, in the very… …Adjoint Operators and Quadratic Forms . . . . . . 2.5 Introduction To Hyperfunctions… …3.3.1 Main Lemma Regarding the Dirac Delta Hyperfunction . . . . . 3.4 A Representation of the… 

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APA (6th Edition):

Lal, N. (2012). Spectral Zeta Functions of Laplacians on Self-Similar Fractals. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/888903d2

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

Chicago Manual of Style (16th Edition):

Lal, Nishu. “Spectral Zeta Functions of Laplacians on Self-Similar Fractals.” 2012. Thesis, University of California – Riverside. Accessed March 04, 2021. http://www.escholarship.org/uc/item/888903d2.

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

MLA Handbook (7th Edition):

Lal, Nishu. “Spectral Zeta Functions of Laplacians on Self-Similar Fractals.” 2012. Web. 04 Mar 2021.

Vancouver:

Lal N. Spectral Zeta Functions of Laplacians on Self-Similar Fractals. [Internet] [Thesis]. University of California – Riverside; 2012. [cited 2021 Mar 04]. Available from: http://www.escholarship.org/uc/item/888903d2.

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

Council of Science Editors:

Lal N. Spectral Zeta Functions of Laplacians on Self-Similar Fractals. [Thesis]. University of California – Riverside; 2012. Available from: http://www.escholarship.org/uc/item/888903d2

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


Michigan State University

6. Maridakis, Manousos. The concentration principle for Dirac operators.

Degree: 2014, Michigan State University

Thesis Ph. D. Michigan State University. Mathematics 2014.

The symbol map σ of an elliptic operator carries essential topological and geometrical information about the underlying… (more)

Subjects/Keywords: Dirac equation; Manifolds (Mathematics); Differential operators; Theoretical mathematics

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APA (6th Edition):

Maridakis, M. (2014). The concentration principle for Dirac operators. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:2604

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

Chicago Manual of Style (16th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Thesis, Michigan State University. Accessed March 04, 2021. http://etd.lib.msu.edu/islandora/object/etd:2604.

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

MLA Handbook (7th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Web. 04 Mar 2021.

Vancouver:

Maridakis M. The concentration principle for Dirac operators. [Internet] [Thesis]. Michigan State University; 2014. [cited 2021 Mar 04]. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604.

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

Council of Science Editors:

Maridakis M. The concentration principle for Dirac operators. [Thesis]. Michigan State University; 2014. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604

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


Australian National University

7. Morris, Andrew Jordan. Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds .

Degree: 2010, Australian National University

 The connection between quadratic estimates and the existence of a bounded holomorphic functional calculus of an operator provides a framework for applying harmonic analysis to… (more)

Subjects/Keywords: holomorphic functional calculi; quadratic estimates; sectorial operators; local Hardy spaces; Riemannian manifolds; differential forms; Hodge – Dirac operators; local Riesz transforms; off-diagonal estimates; Davies – Gaffney estimates; Kato square-root problems; submanifolds; divergence form operators; first-order differential operators

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APA (6th Edition):

Morris, A. J. (2010). Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds . (Thesis). Australian National University. Retrieved from http://hdl.handle.net/1885/8864

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

Chicago Manual of Style (16th Edition):

Morris, Andrew Jordan. “Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds .” 2010. Thesis, Australian National University. Accessed March 04, 2021. http://hdl.handle.net/1885/8864.

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

MLA Handbook (7th Edition):

Morris, Andrew Jordan. “Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds .” 2010. Web. 04 Mar 2021.

Vancouver:

Morris AJ. Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds . [Internet] [Thesis]. Australian National University; 2010. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/1885/8864.

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

Council of Science Editors:

Morris AJ. Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds . [Thesis]. Australian National University; 2010. Available from: http://hdl.handle.net/1885/8864

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


Indian Institute of Science

8. Rahaman, Md Aminoor. Search On A Hypercubic Lattice Using Quantum Random Walk.

Degree: MSc Engg, Faculty of Engineering, 2010, Indian Institute of Science

 Random walks describe diffusion processes, where movement at every time step is restricted only to neighbouring locations. Classical random walks are constructed using the non-relativistic… (more)

Subjects/Keywords: Lattice Theory - Data Processing; Quantum Random Walk; Grover's Algorithm; Dirac Operators; Quantum Computation; Dimensional Hypercubic Lattices; Random Walk Algorithm; Spatial Search; Quantum Physics

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APA (6th Edition):

Rahaman, M. A. (2010). Search On A Hypercubic Lattice Using Quantum Random Walk. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/972

Chicago Manual of Style (16th Edition):

Rahaman, Md Aminoor. “Search On A Hypercubic Lattice Using Quantum Random Walk.” 2010. Masters Thesis, Indian Institute of Science. Accessed March 04, 2021. http://etd.iisc.ac.in/handle/2005/972.

MLA Handbook (7th Edition):

Rahaman, Md Aminoor. “Search On A Hypercubic Lattice Using Quantum Random Walk.” 2010. Web. 04 Mar 2021.

Vancouver:

Rahaman MA. Search On A Hypercubic Lattice Using Quantum Random Walk. [Internet] [Masters thesis]. Indian Institute of Science; 2010. [cited 2021 Mar 04]. Available from: http://etd.iisc.ac.in/handle/2005/972.

Council of Science Editors:

Rahaman MA. Search On A Hypercubic Lattice Using Quantum Random Walk. [Masters Thesis]. Indian Institute of Science; 2010. Available from: http://etd.iisc.ac.in/handle/2005/972


University of Michigan

9. Sandoval, Mary Ruth. Wave-trace asymptotics for operators of Dirac type.

Degree: PhD, Pure Sciences, 1997, University of Michigan

 Spectral geometry seeks to understand the relationship between the spectra of differential operators and the underlying geometry of a manifold, especially to understand which geometric… (more)

Subjects/Keywords: Asymptotics; Dirac; Operators; Spectral Geometry; Trace; Type; Wave

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APA (6th Edition):

Sandoval, M. R. (1997). Wave-trace asymptotics for operators of Dirac type. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/130578

Chicago Manual of Style (16th Edition):

Sandoval, Mary Ruth. “Wave-trace asymptotics for operators of Dirac type.” 1997. Doctoral Dissertation, University of Michigan. Accessed March 04, 2021. http://hdl.handle.net/2027.42/130578.

MLA Handbook (7th Edition):

Sandoval, Mary Ruth. “Wave-trace asymptotics for operators of Dirac type.” 1997. Web. 04 Mar 2021.

Vancouver:

Sandoval MR. Wave-trace asymptotics for operators of Dirac type. [Internet] [Doctoral dissertation]. University of Michigan; 1997. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/2027.42/130578.

Council of Science Editors:

Sandoval MR. Wave-trace asymptotics for operators of Dirac type. [Doctoral Dissertation]. University of Michigan; 1997. Available from: http://hdl.handle.net/2027.42/130578


University of Waterloo

10. Suan, Caleb. Differential Operators on Manifolds with G2-Structure.

Degree: 2020, University of Waterloo

 In this thesis, we study differential operators on manifolds with torsion-free G2-structure. In particular, we use an identification of the spinor bundle S of such… (more)

Subjects/Keywords: differential geometry; G2-structures; twisted Dirac operator; differential operators

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APA (6th Edition):

Suan, C. (2020). Differential Operators on Manifolds with G2-Structure. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/16565

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

Chicago Manual of Style (16th Edition):

Suan, Caleb. “Differential Operators on Manifolds with G2-Structure.” 2020. Thesis, University of Waterloo. Accessed March 04, 2021. http://hdl.handle.net/10012/16565.

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

MLA Handbook (7th Edition):

Suan, Caleb. “Differential Operators on Manifolds with G2-Structure.” 2020. Web. 04 Mar 2021.

Vancouver:

Suan C. Differential Operators on Manifolds with G2-Structure. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/10012/16565.

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

Council of Science Editors:

Suan C. Differential Operators on Manifolds with G2-Structure. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/16565

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

11. Takata, Doman. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .

Degree: 2018, Kyoto University

Subjects/Keywords: infinite-dimensional manifolds; loop groups; Dirac operators; assembly maps; KK-theory; index theory

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APA (6th Edition):

Takata, D. (2018). A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . (Thesis). Kyoto University. Retrieved from http://hdl.handle.net/2433/232217

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

Chicago Manual of Style (16th Edition):

Takata, Doman. “A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .” 2018. Thesis, Kyoto University. Accessed March 04, 2021. http://hdl.handle.net/2433/232217.

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

MLA Handbook (7th Edition):

Takata, Doman. “A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds .” 2018. Web. 04 Mar 2021.

Vancouver:

Takata D. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . [Internet] [Thesis]. Kyoto University; 2018. [cited 2021 Mar 04]. Available from: http://hdl.handle.net/2433/232217.

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

Council of Science Editors:

Takata D. A Loop Group Equivariant Analytic Index Theory for Infinite-dimensional Manifolds . [Thesis]. Kyoto University; 2018. Available from: http://hdl.handle.net/2433/232217

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

.