subject:(four manifolds)

Michigan State University

1. Fan, Wei, Ph. D. Plugs in simply-connected 4 manifolds with boundaries.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3672

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Thesis Ph. D. Michigan State University. Mathematics 2015

In 1986, S. Boyer generalized Freedman's result to simply-connected topological 4 manifolds with boundaries. He proved in… (more)

Subjects/Keywords: Four-manifolds (Topology); Mathematics

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

APA (6^th Edition):

Fan, Wei, P. D. (2015). Plugs in simply-connected 4 manifolds with boundaries. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3672

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):

Fan, Wei, Ph D. “Plugs in simply-connected 4 manifolds with boundaries.” 2015. Thesis, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:3672.

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

MLA Handbook (7^th Edition):

Fan, Wei, Ph D. “Plugs in simply-connected 4 manifolds with boundaries.” 2015. Web. 18 Jan 2021.

Vancouver:

Fan, Wei PD. Plugs in simply-connected 4 manifolds with boundaries. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3672.

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

Council of Science Editors:

Fan, Wei PD. Plugs in simply-connected 4 manifolds with boundaries. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3672

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

University of Aberdeen

2. Wang, Zhixiang. Projective structure on 4-dimensional manifolds.

Degree: PhD, 2012, University of Aberdeen

URL: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152769190005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.600066

► The object of my thesis is to investigate projectively related metrics, that is, metrics whose Levi-Civita connections admit exactly the same family of unparametrised geodesics… (more)

▼ The object of my thesis is to investigate projectively related metrics, that is, metrics whose Levi-Civita connections admit exactly the same family of unparametrised geodesics on 4-dimensional manifolds with positive de nite or neutral (+;+;;) signatures. The general idea is to study the relationship between projectively related metrics and the holonomy types of each metric. The main technique presented in the work requires a certain classification of the curvature map which has been developed by G. S. Hall and D. P. Lonie in the case of Lorentz signature. In chapter 1, some of the background theory will be given. This will include an introduction to bivector algebra, a revision of the Riemann curvature tensor and holonomy theory and, in particular, the fundamental equations for projective related metrics. A brief historical and bibliographical review is also given. The subsequent chapter gives the details of projective related metrics of positive definite signature. In x2.1, the structure of so(4) is described with an emphasis on the canonical decomposition of bivectors and then the subalgebras of so(4) follow. In x2.2., the problem of projective related metrics can be solved case by case decided by holonomy types. In many of these cases, the connections are found to be necessarily equal. A few cases with nontrivial projectively related metrics have been found by only in the rather special case of curvature class D, and the metrics are given in the appendices. An extension of this method to spaces of neutral signature (+;+;;) is made in chapter 3. The rst part of the chapter discusses the algebraic structure of a 4-dimensional vector space with such a metric. In contrast to metrics of the other two signatures (positive definite and Lorentz), this metric admits totally null planes. The structure of the Lie algebra so(2; 2) can be described through the action on totally null planes. The classification of all subalgebras of so(2,2) is then obtained in terms of self-dual and anti-self-dual bivectors. In most holonomy types and curvature classes, the problem has only trivial solutions. Nontrivial projectively related metrics can be found for four holonomy types with curvature class D and two holonomy types with curvature class A.

Subjects/Keywords: 510; Four-manifolds (Topology)

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APA (6^th Edition):

Wang, Z. (2012). Projective structure on 4-dimensional manifolds. (Doctoral Dissertation). University of Aberdeen. Retrieved from https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152769190005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.600066

Chicago Manual of Style (16^th Edition):

Wang, Zhixiang. “Projective structure on 4-dimensional manifolds.” 2012. Doctoral Dissertation, University of Aberdeen. Accessed January 18, 2021. https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152769190005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.600066.

MLA Handbook (7^th Edition):

Wang, Zhixiang. “Projective structure on 4-dimensional manifolds.” 2012. Web. 18 Jan 2021.

Vancouver:

Wang Z. Projective structure on 4-dimensional manifolds. [Internet] [Doctoral dissertation]. University of Aberdeen; 2012. [cited 2021 Jan 18]. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152769190005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.600066.

Council of Science Editors:

Wang Z. Projective structure on 4-dimensional manifolds. [Doctoral Dissertation]. University of Aberdeen; 2012. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152769190005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.600066

Michigan State University

3. Williams, Luke Morgan. Handlebody structures of rational balls.

Degree: 2015, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:3283

►

It is known that for coprime integers p > q > 0, the lens space L(p²,pq-1) bounds a rational ball, B_p,q, arising as the 2-fold… (more)

Subjects/Keywords: Handlebodies; Four-manifolds (Topology); Mathematics

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APA (6^th Edition):

Williams, L. M. (2015). Handlebody structures of rational balls. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3283

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):

Williams, Luke Morgan. “Handlebody structures of rational balls.” 2015. Thesis, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:3283.

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

MLA Handbook (7^th Edition):

Williams, Luke Morgan. “Handlebody structures of rational balls.” 2015. Web. 18 Jan 2021.

Vancouver:

Williams LM. Handlebody structures of rational balls. [Internet] [Thesis]. Michigan State University; 2015. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3283.

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

Council of Science Editors:

Williams LM. Handlebody structures of rational balls. [Thesis]. Michigan State University; 2015. Available from: http://etd.lib.msu.edu/islandora/object/etd:3283

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

University of Aberdeen

4. Wang, Zhixiang.; University of Aberdeen.Dept. of Mathematics. Projective structure on 4-dimensional manifolds.

Degree: Dept. of Mathematics., 2012, University of Aberdeen

URL: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=206987 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=206987&custom_att_2=simple_viewer

Subjects/Keywords: Four-manifolds (Topology)

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

APA (6^th Edition):

Wang, Z. ;. U. o. A. D. o. M. (2012). Projective structure on 4-dimensional manifolds. (Doctoral Dissertation). University of Aberdeen. Retrieved from http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=206987 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=206987&custom_att_2=simple_viewer

Chicago Manual of Style (16^th Edition):

Wang, Zhixiang ; University of Aberdeen Dept of Mathematics. “Projective structure on 4-dimensional manifolds.” 2012. Doctoral Dissertation, University of Aberdeen. Accessed January 18, 2021. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=206987 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=206987&custom_att_2=simple_viewer.

MLA Handbook (7^th Edition):

Wang, Zhixiang ; University of Aberdeen Dept of Mathematics. “Projective structure on 4-dimensional manifolds.” 2012. Web. 18 Jan 2021.

Vancouver:

Wang Z;UoADoM. Projective structure on 4-dimensional manifolds. [Internet] [Doctoral dissertation]. University of Aberdeen; 2012. [cited 2021 Jan 18]. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=206987 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=206987&custom_att_2=simple_viewer.

Council of Science Editors:

Wang Z;UoADoM. Projective structure on 4-dimensional manifolds. [Doctoral Dissertation]. University of Aberdeen; 2012. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=206987 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=206987&custom_att_2=simple_viewer

Rutgers University

5. Nidaiev, Iurii, 1988-. Cohomological field theories and four-manifold invariants.

Degree: PhD, Physics and Astronomy, 2019, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/60905/

► Four-dimensional cohomological quantum field theories possess topological sectors of correlation functions that can be analyzed non-perturbatively on a general four-manifold. In this thesis, we explore… (more)

▼ Four-dimensional cohomological quantum field theories possess topological sectors of correlation functions that can be analyzed non-perturbatively on a general four-manifold. In this thesis, we explore various aspects of these topological models and their implications for smooth structure invariants of four-manifolds. Cohomological field theories emerge when one considers topological twisting of ordinary quantum field theories with extended (N = 2 in the context of this thesis) supersymmetry. The global scalar supersymmetry of these theories allows one to use integrals/sums over their quantum vacua as a tool for their exact analysis. In the case of pure SU(2) N = 2 gauge theory this has lead to remarkable success of Witten’s field theory formulation of Donaldson invariants and discovery of Seiberg-Witten invariants which are the best presently available tool for distinguishing smooth structures on four-manifolds with fixed topological type. In chapter 3 of this thesis we analyze a new prescription for defining the integral over a Coulomb branch of vacua in Donaldson-Witten theory as well as discuss possible treatment of IR divergences associated with certain BRST-exact operators. Chapter 3 of the thesis is based on the work reported in [20] (arXiv:1901.03540 [hep-th]) and partly has been extracted from that paper. On general grounds one expects that topological twisting of any N = 2 supersymmetric theory defines a smooth structure invariant. However, examples of Lagrangian theories strongly suggest that topological partition functions of Lagrangian theories are expressible through the classical cohomological invariants and Seiberg-Witten invariants. Therefore, the search for new 4-manifold invariants has to be restricted to so-called "non-Lagrangian" N = 2 theories. Though full non-Lagrangian theories are, at present, difficult to analyze due to their strongly-coupled nature and the lack of action principle, in chapter 4 we show how one can derive the topological partition function of a simplest non-trivial non-Lagrangian theory discovered by Argyres and Douglas and known as AD3 theory. We obtain a formula for the partition function of topologically twisted version of the AD3 theory on any compact, oriented, simply connected, four-manifolds without boundary and with b+2 > 0. The result can be, once again, expressed in terms of classical cohomological invariants and Seiberg-Witten invariants. We argue that our results hint at the existence of four-manifolds of new, presently unknown, type as well as narrow the search for new field theory invariants of four-manifolds to Non-Lagrangian superconformal points that admit Higgs branches. Chapter 4 of this thesis is based on the work reported in [40] (arXiv:1711.09257 [hep-th]) and partly has been extracted from that paper. Finally, in chapter 5 we derive a twisted (0,2) two-dimensional model by putting the abelian low energy theory of single M5 brane described by the PST action on a direct product of a Riemann surface and a four-manifold. The resulting two dimensional… Advisors/Committee Members: Moore, Gregory W (chair), Buckley, Matthew R (internal member), Friedan, Daniel (internal member), Yuzbashyan, Emil (internal member), Marino, Marcos (outside member), School of Graduate Studies.

Subjects/Keywords: Quantum field theory; Four-manifolds (Topology)

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APA (6^th Edition):

Nidaiev, Iurii, 1. (2019). Cohomological field theories and four-manifold invariants. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/60905/

Chicago Manual of Style (16^th Edition):

Nidaiev, Iurii, 1988-. “Cohomological field theories and four-manifold invariants.” 2019. Doctoral Dissertation, Rutgers University. Accessed January 18, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/60905/.

MLA Handbook (7^th Edition):

Nidaiev, Iurii, 1988-. “Cohomological field theories and four-manifold invariants.” 2019. Web. 18 Jan 2021.

Vancouver:

Nidaiev, Iurii 1. Cohomological field theories and four-manifold invariants. [Internet] [Doctoral dissertation]. Rutgers University; 2019. [cited 2021 Jan 18]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60905/.

Council of Science Editors:

Nidaiev, Iurii 1. Cohomological field theories and four-manifold invariants. [Doctoral Dissertation]. Rutgers University; 2019. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60905/

Michigan State University

6. Park, Jongil. Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds.

Degree: PhD, Department of Mathematics, 1996, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:25981

Subjects/Keywords: Four-manifolds (Topology)

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

APA (6^th Edition):

Park, J. (1996). Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:25981

Chicago Manual of Style (16^th Edition):

Park, Jongil. “Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds.” 1996. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:25981.

MLA Handbook (7^th Edition):

Park, Jongil. “Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds.” 1996. Web. 18 Jan 2021.

Vancouver:

Park J. Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 1996. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:25981.

Council of Science Editors:

Park J. Seiberg-Witten invariants of rational blow-downs and geography problems of irreducible 4-manifolds. [Doctoral Dissertation]. Michigan State University; 1996. Available from: http://etd.lib.msu.edu/islandora/object/etd:25981

University of Oxford

7. Donaldson, S. K. The Yang-Mills equations on Kahler manifolds.

Degree: PhD, 1982, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345427

► Two special classes of solutions to the Yang-Mills equations are studied in this thesis; Hermitian-Einstein connections on holomorphic bundles over Kahler manifolds, and self-dual connections… (more)

Subjects/Keywords: 510; Four-manifolds (Topology) : Kählerian manifolds

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APA (6^th Edition):

Donaldson, S. K. (1982). The Yang-Mills equations on Kahler manifolds. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345427

Chicago Manual of Style (16^th Edition):

Donaldson, S K. “The Yang-Mills equations on Kahler manifolds.” 1982. Doctoral Dissertation, University of Oxford. Accessed January 18, 2021. http://ora.ox.ac.uk/objects/uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345427.

MLA Handbook (7^th Edition):

Donaldson, S K. “The Yang-Mills equations on Kahler manifolds.” 1982. Web. 18 Jan 2021.

Vancouver:

Donaldson SK. The Yang-Mills equations on Kahler manifolds. [Internet] [Doctoral dissertation]. University of Oxford; 1982. [cited 2021 Jan 18]. Available from: http://ora.ox.ac.uk/objects/uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345427.

Council of Science Editors:

Donaldson SK. The Yang-Mills equations on Kahler manifolds. [Doctoral Dissertation]. University of Oxford; 1982. Available from: http://ora.ox.ac.uk/objects/uuid:4a728d07-8f2e-4c73-a756-90cd5972d4b1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345427

Michigan State University

8. Baykur, Refik İnanç. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.

Degree: PhD, Department of Mathematics, 2007, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:38642

Subjects/Keywords: Symplectic manifolds; Four-manifolds (Topology); Invariant manifolds

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APA (6^th Edition):

Baykur, R. I. (2007). Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:38642

Chicago Manual of Style (16^th Edition):

Baykur, Refik İnanç. “Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.” 2007. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:38642.

MLA Handbook (7^th Edition):

Baykur, Refik İnanç. “Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds.” 2007. Web. 18 Jan 2021.

Vancouver:

Baykur RI. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. [Internet] [Doctoral dissertation]. Michigan State University; 2007. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:38642.

Council of Science Editors:

Baykur RI. Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds. [Doctoral Dissertation]. Michigan State University; 2007. Available from: http://etd.lib.msu.edu/islandora/object/etd:38642

University of Cambridge

9. Franchetti, Guido. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.

Degree: PhD, 2014, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/245145https://www.repository.cam.ac.uk/bitstream/1810/245145/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245145/4/Thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/5/Thesis.pdf.jpg

► This thesis is divided in two parts. The first one is devoted to the dynamics of polariton condensates, with particular attention to their pattern-forming capabilities.… (more)

▼ This thesis is divided in two parts. The first one is devoted to the dynamics of polariton condensates, with particular attention to their pattern-forming capabilities. In many configurations of physical interest, the dynamics of polariton condensates can be modelled by means of a non-linear PDE which is strictly related to the Gross-Pitaevskii and the complex Ginzburg-Landau equations. Numerical simulations of this equation are used to investigate the robustness of the rotating vortex lattice which is predicted to spontaneously form in a non-equilibrium trapped condensate. An idea for a polariton-based gyroscope is then presented. The device relies on peculiar properties of non-equilibrium condensates - the possibility of controlling the vortex emission mechanism and the use of pumping strength as a control parameter - and improves on existing proposals for superfluid-based gyroscopes. Finally, the important rôle played by quantum pressure in the recently observed transition from a phase-locked but freely flowing condensate to a spatially trapped one is discussed. The second part of this thesis presents work done in the context of the geometrical models of matter framework, which aims to describe particles in terms of 4-dimensional manifolds. Conserved quantum numbers of particles are encoded in the topology of the manifold, while dynamical quantities are to be described in terms of its geometry. Two infinite families of manifolds, namely ALF gravitational instantons of types A_k and D_k, are investigated as possible models for multi-particle systems. On the basis of their topological and geometrical properties it is concluded that A_k can model a system of k+1 electrons, and D_k a system of a proton and k-1 electrons. Energy functionals which successfully reproduce the Coulomb interaction energy, and in one case also the rest masses, of these particle systems are then constructed in terms of the area and Gaussian curvature of preferred representatives of middle dimension homology. Finally, an idea for constructing multi-particle models by gluing single-particle ones is discussed.

Subjects/Keywords: Polariton condensates; Non-equilibrium physics; Topological solitons; Four-manifolds

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APA (6^th Edition):

Franchetti, G. (2014). Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/245145https://www.repository.cam.ac.uk/bitstream/1810/245145/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245145/4/Thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/5/Thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Franchetti, Guido. “Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.” 2014. Doctoral Dissertation, University of Cambridge. Accessed January 18, 2021. https://www.repository.cam.ac.uk/handle/1810/245145https://www.repository.cam.ac.uk/bitstream/1810/245145/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245145/4/Thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/5/Thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Franchetti, Guido. “Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.” 2014. Web. 18 Jan 2021.

Vancouver:

Franchetti G. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. [Internet] [Doctoral dissertation]. University of Cambridge; 2014. [cited 2021 Jan 18]. Available from: https://www.repository.cam.ac.uk/handle/1810/245145https://www.repository.cam.ac.uk/bitstream/1810/245145/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245145/4/Thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/5/Thesis.pdf.jpg.

Council of Science Editors:

Franchetti G. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. [Doctoral Dissertation]. University of Cambridge; 2014. Available from: https://www.repository.cam.ac.uk/handle/1810/245145https://www.repository.cam.ac.uk/bitstream/1810/245145/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245145/4/Thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245145/5/Thesis.pdf.jpg

University of Missouri – Columbia

10. Renner, Andrew. A foliated Seiberg-Witten theory.

Degree: 2016, University of Missouri – Columbia

URL: https://doi.org/10.32469/10355/56833

► This dissertation set out to investigate a generalization of Seiberg-Witten theory from four-dimensional manifolds to four-codimensional Riemannian foliations. Seiberg-Witten theory was originally born out of… (more)

Subjects/Keywords: Differential topology; Seiberg-Witten invariants; Four-manifolds (Topology); Foliations (Mathematics)

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APA (6^th Edition):

Renner, A. (2016). A foliated Seiberg-Witten theory. (Thesis). University of Missouri – Columbia. Retrieved from https://doi.org/10.32469/10355/56833

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):

Renner, Andrew. “A foliated Seiberg-Witten theory.” 2016. Thesis, University of Missouri – Columbia. Accessed January 18, 2021. https://doi.org/10.32469/10355/56833.

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

MLA Handbook (7^th Edition):

Renner, Andrew. “A foliated Seiberg-Witten theory.” 2016. Web. 18 Jan 2021.

Vancouver:

Renner A. A foliated Seiberg-Witten theory. [Internet] [Thesis]. University of Missouri – Columbia; 2016. [cited 2021 Jan 18]. Available from: https://doi.org/10.32469/10355/56833.

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

Council of Science Editors:

Renner A. A foliated Seiberg-Witten theory. [Thesis]. University of Missouri – Columbia; 2016. Available from: https://doi.org/10.32469/10355/56833

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

University of Pennsylvania

11. Kjuchukova, Alexandra. On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds.

Degree: 2015, University of Pennsylvania

URL: https://repository.upenn.edu/edissertations/1817

► We prove a necessary condition for a four-manifold Y to be homeomorphic to a p-fold irregular dihedral branched cover of a given four-manifold X, with… (more)

Subjects/Keywords: branched covers; classification; four-manifolds; knot theory; singularity; topology; Mathematics

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APA (6^th Edition):

Kjuchukova, A. (2015). On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds. (Thesis). University of Pennsylvania. Retrieved from https://repository.upenn.edu/edissertations/1817

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):

Kjuchukova, Alexandra. “On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds.” 2015. Thesis, University of Pennsylvania. Accessed January 18, 2021. https://repository.upenn.edu/edissertations/1817.

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

MLA Handbook (7^th Edition):

Kjuchukova, Alexandra. “On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds.” 2015. Web. 18 Jan 2021.

Vancouver:

Kjuchukova A. On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds. [Internet] [Thesis]. University of Pennsylvania; 2015. [cited 2021 Jan 18]. Available from: https://repository.upenn.edu/edissertations/1817.

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

Council of Science Editors:

Kjuchukova A. On the Classification of Irregular Dihedral Branched Covers of Four-Manifolds. [Thesis]. University of Pennsylvania; 2015. Available from: https://repository.upenn.edu/edissertations/1817

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

University of Oxford

12. Leung, Wai-Man Raymond. On spin c-invariants of four-manifolds.

Degree: PhD, 1995, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318821

► The spin^c-invariants for a compact smooth simply-connected oriented four-manifold, as defined by Pidstrigach and Tyurin, are studied in this thesis. Unlike the Donaldson polynomial invariants,… (more)

Subjects/Keywords: 510; Manifolds (Mathematics) : Topological spaces : Four-manifolds (Topology)

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APA (6^th Edition):

Leung, W. R. (1995). On spin c-invariants of four-manifolds. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318821

Chicago Manual of Style (16^th Edition):

Leung, Wai-Man Raymond. “On spin c-invariants of four-manifolds.” 1995. Doctoral Dissertation, University of Oxford. Accessed January 18, 2021. http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318821.

MLA Handbook (7^th Edition):

Leung, Wai-Man Raymond. “On spin c-invariants of four-manifolds.” 1995. Web. 18 Jan 2021.

Vancouver:

Leung WR. On spin c-invariants of four-manifolds. [Internet] [Doctoral dissertation]. University of Oxford; 1995. [cited 2021 Jan 18]. Available from: http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318821.

Council of Science Editors:

Leung WR. On spin c-invariants of four-manifolds. [Doctoral Dissertation]. University of Oxford; 1995. Available from: http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318821

Michigan State University

13. Wieczorek, Wojciech. The Donaldson invariant and embedded 2-spheres.

Degree: PhD, Department of Mathematics, 1995, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:29830

Subjects/Keywords: Four-manifolds (Topology); Manifolds (Mathematics); Topological imbeddings

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APA (6^th Edition):

Wieczorek, W. (1995). The Donaldson invariant and embedded 2-spheres. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:29830

Chicago Manual of Style (16^th Edition):

Wieczorek, Wojciech. “The Donaldson invariant and embedded 2-spheres.” 1995. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:29830.

MLA Handbook (7^th Edition):

Wieczorek, Wojciech. “The Donaldson invariant and embedded 2-spheres.” 1995. Web. 18 Jan 2021.

Vancouver:

Wieczorek W. The Donaldson invariant and embedded 2-spheres. [Internet] [Doctoral dissertation]. Michigan State University; 1995. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:29830.

Council of Science Editors:

Wieczorek W. The Donaldson invariant and embedded 2-spheres. [Doctoral Dissertation]. Michigan State University; 1995. Available from: http://etd.lib.msu.edu/islandora/object/etd:29830

Michigan State University

14. Sunukjian, Nathan S. Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology.

Degree: PhD, Mathematics, 2010, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:10378

Subjects/Keywords: Cobordism theory; Manifolds (Mathematics); Homology theory; Four-manifolds (Topology)

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APA (6^th Edition):

Sunukjian, N. S. (2010). Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:10378

Chicago Manual of Style (16^th Edition):

Sunukjian, Nathan S. “Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology.” 2010. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:10378.

MLA Handbook (7^th Edition):

Sunukjian, Nathan S. “Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology.” 2010. Web. 18 Jan 2021.

Vancouver:

Sunukjian NS. Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology. [Internet] [Doctoral dissertation]. Michigan State University; 2010. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:10378.

Council of Science Editors:

Sunukjian NS. Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology. [Doctoral Dissertation]. Michigan State University; 2010. Available from: http://etd.lib.msu.edu/islandora/object/etd:10378

McMaster University

15. Anvari, Nima. Equivariant Gauge Theory and Four-Manifolds.

Degree: PhD, 2013, McMaster University

URL: http://hdl.handle.net/11375/13384

►

Let p>5 be a prime and X₀ a simply-connected 4-manifold with boundary the Poincar\'e homology sphere Σ(2,3,5) and even negative-definite intersection form Q_X₀={E}₈ .… (more)

Subjects/Keywords: group actions; four-manifolds; gauge theory; Geometry and Topology; Geometry and Topology

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APA (6^th Edition):

Anvari, N. (2013). Equivariant Gauge Theory and Four-Manifolds. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/13384

Chicago Manual of Style (16^th Edition):

Anvari, Nima. “Equivariant Gauge Theory and Four-Manifolds.” 2013. Doctoral Dissertation, McMaster University. Accessed January 18, 2021. http://hdl.handle.net/11375/13384.

MLA Handbook (7^th Edition):

Anvari, Nima. “Equivariant Gauge Theory and Four-Manifolds.” 2013. Web. 18 Jan 2021.

Vancouver:

Anvari N. Equivariant Gauge Theory and Four-Manifolds. [Internet] [Doctoral dissertation]. McMaster University; 2013. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11375/13384.

Council of Science Editors:

Anvari N. Equivariant Gauge Theory and Four-Manifolds. [Doctoral Dissertation]. McMaster University; 2013. Available from: http://hdl.handle.net/11375/13384

McMaster University

16. Breton, Sacha. Finite Group Actions on the Four-Dimensional Sphere.

Degree: MSc, 2011, McMaster University

URL: http://hdl.handle.net/11375/11102

►

Smith theory provides powerful tools for understanding the geometry of singular sets of group actions on spheres. In this thesis, tools from Smith theory… (more)

Subjects/Keywords: group actions; four spheres; smooth manifolds; Geometry and Topology; Geometry and Topology

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APA (6^th Edition):

Breton, S. (2011). Finite Group Actions on the Four-Dimensional Sphere. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/11102

Chicago Manual of Style (16^th Edition):

Breton, Sacha. “Finite Group Actions on the Four-Dimensional Sphere.” 2011. Masters Thesis, McMaster University. Accessed January 18, 2021. http://hdl.handle.net/11375/11102.

MLA Handbook (7^th Edition):

Breton, Sacha. “Finite Group Actions on the Four-Dimensional Sphere.” 2011. Web. 18 Jan 2021.

Vancouver:

Breton S. Finite Group Actions on the Four-Dimensional Sphere. [Internet] [Masters thesis]. McMaster University; 2011. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11375/11102.

Council of Science Editors:

Breton S. Finite Group Actions on the Four-Dimensional Sphere. [Masters Thesis]. McMaster University; 2011. Available from: http://hdl.handle.net/11375/11102

Michigan State University

17. Baldridge, Scott Jeremy. Seiberg-Witten invariants of 4-manifolds with circle actions.

Degree: PhD, Department of Mathematics, 2001, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:30768

Subjects/Keywords: Seiberg-Witten invariants; Four-manifolds (Topology)

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APA (6^th Edition):

Baldridge, S. J. (2001). Seiberg-Witten invariants of 4-manifolds with circle actions. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:30768

Chicago Manual of Style (16^th Edition):

Baldridge, Scott Jeremy. “Seiberg-Witten invariants of 4-manifolds with circle actions.” 2001. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:30768.

MLA Handbook (7^th Edition):

Baldridge, Scott Jeremy. “Seiberg-Witten invariants of 4-manifolds with circle actions.” 2001. Web. 18 Jan 2021.

Vancouver:

Baldridge SJ. Seiberg-Witten invariants of 4-manifolds with circle actions. [Internet] [Doctoral dissertation]. Michigan State University; 2001. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:30768.

Council of Science Editors:

Baldridge SJ. Seiberg-Witten invariants of 4-manifolds with circle actions. [Doctoral Dissertation]. Michigan State University; 2001. Available from: http://etd.lib.msu.edu/islandora/object/etd:30768

18. KORPAS, GEORGIOS. Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms.

Degree: School of Mathematics. Discipline of Pure & Applied Mathematics, 2019, Trinity College Dublin

URL: http://hdl.handle.net/2262/90496

► In this dissertation we present new results in the field of topologically twisted gauge theories evaluated on compact four-manifolds without boundary. We focus on the… (more)

Subjects/Keywords: supersymmetry; string theory; Donaldson invariants; modular forms; Yang-Mills theory; four-manifolds

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APA (6^th Edition):

KORPAS, G. (2019). Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms. (Thesis). Trinity College Dublin. Retrieved from http://hdl.handle.net/2262/90496

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):

KORPAS, GEORGIOS. “Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms.” 2019. Thesis, Trinity College Dublin. Accessed January 18, 2021. http://hdl.handle.net/2262/90496.

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

MLA Handbook (7^th Edition):

KORPAS, GEORGIOS. “Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms.” 2019. Web. 18 Jan 2021.

Vancouver:

KORPAS G. Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms. [Internet] [Thesis]. Trinity College Dublin; 2019. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2262/90496.

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

Council of Science Editors:

KORPAS G. Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms. [Thesis]. Trinity College Dublin; 2019. Available from: http://hdl.handle.net/2262/90496

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

University of Texas – Austin

19. Ihl, Matthias, 1977-. Topics in flux compactifications of type IIA superstring theory.

Degree: PhD, Physics, 2008, University of Texas – Austin

URL: http://hdl.handle.net/2152/7680

► Realistic four-dimensional model building from string theory has been a focus of the string theory community ever since its inception. Toroidal orientifold constructions have emerged… (more)

Subjects/Keywords: Superstring theories; Four-manifolds (Topology); Compactifications

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APA (6^th Edition):

Ihl, Matthias, 1. (2008). Topics in flux compactifications of type IIA superstring theory. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/7680

Chicago Manual of Style (16^th Edition):

Ihl, Matthias, 1977-. “Topics in flux compactifications of type IIA superstring theory.” 2008. Doctoral Dissertation, University of Texas – Austin. Accessed January 18, 2021. http://hdl.handle.net/2152/7680.

MLA Handbook (7^th Edition):

Ihl, Matthias, 1977-. “Topics in flux compactifications of type IIA superstring theory.” 2008. Web. 18 Jan 2021.

Vancouver:

Ihl, Matthias 1. Topics in flux compactifications of type IIA superstring theory. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2008. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2152/7680.

Council of Science Editors:

Ihl, Matthias 1. Topics in flux compactifications of type IIA superstring theory. [Doctoral Dissertation]. University of Texas – Austin; 2008. Available from: http://hdl.handle.net/2152/7680

University of Michigan

20. Pelayo, Alvaro. Symplectic torus actions.

Degree: PhD, Pure Sciences, 2007, University of Michigan

URL: http://hdl.handle.net/2027.42/126794

► We prove several theorems regarding symplectic torus actions and related topics. The thesis consists of four chapters, each of them with an independent abstract and… (more)

Subjects/Keywords: Classification; Homotopy; Manifolds-4; Manifolds-four; Symplectic Orbits; Toric Ball Packings; Torus Actions

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APA (6^th Edition):

Pelayo, A. (2007). Symplectic torus actions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/126794

Chicago Manual of Style (16^th Edition):

Pelayo, Alvaro. “Symplectic torus actions.” 2007. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/126794.

MLA Handbook (7^th Edition):

Pelayo, Alvaro. “Symplectic torus actions.” 2007. Web. 18 Jan 2021.

Vancouver:

Pelayo A. Symplectic torus actions. [Internet] [Doctoral dissertation]. University of Michigan; 2007. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/126794.

Council of Science Editors:

Pelayo A. Symplectic torus actions. [Doctoral Dissertation]. University of Michigan; 2007. Available from: http://hdl.handle.net/2027.42/126794

Michigan State University

21. Chen, Weimin. The Seiberg-Witten theory of homology 3-spheres.

Degree: PhD, Department of Mathematics, 1998, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:26816

Subjects/Keywords: Global analysis (Mathematics); Four-manifolds (Topology); Mathematical physics

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APA (6^th Edition):

Chen, W. (1998). The Seiberg-Witten theory of homology 3-spheres. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:26816

Chicago Manual of Style (16^th Edition):

Chen, Weimin. “The Seiberg-Witten theory of homology 3-spheres.” 1998. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:26816.

MLA Handbook (7^th Edition):

Chen, Weimin. “The Seiberg-Witten theory of homology 3-spheres.” 1998. Web. 18 Jan 2021.

Vancouver:

Chen W. The Seiberg-Witten theory of homology 3-spheres. [Internet] [Doctoral dissertation]. Michigan State University; 1998. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:26816.

Council of Science Editors:

Chen W. The Seiberg-Witten theory of homology 3-spheres. [Doctoral Dissertation]. Michigan State University; 1998. Available from: http://etd.lib.msu.edu/islandora/object/etd:26816

Utah State University

22. Renner, Andrew. Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics.

Degree: MS, Mathematics and Statistics, 2004, Utah State University

URL: https://digitalcommons.usu.edu/etd/7149

► A method due to É. Cartan was used to algebraically classify the possible four-dimensional manifolds that allow a (2, 2)-signature metric with a transitive… (more)

Subjects/Keywords: four-dimensional; non-reductive; homogeneous; manifolds; metrics; Mathematics

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APA (6^th Edition):

Renner, A. (2004). Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics. (Masters Thesis). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/7149

Chicago Manual of Style (16^th Edition):

Renner, Andrew. “Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics.” 2004. Masters Thesis, Utah State University. Accessed January 18, 2021. https://digitalcommons.usu.edu/etd/7149.

MLA Handbook (7^th Edition):

Renner, Andrew. “Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics.” 2004. Web. 18 Jan 2021.

Vancouver:

Renner A. Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics. [Internet] [Masters thesis]. Utah State University; 2004. [cited 2021 Jan 18]. Available from: https://digitalcommons.usu.edu/etd/7149.

Council of Science Editors:

Renner A. Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics. [Masters Thesis]. Utah State University; 2004. Available from: https://digitalcommons.usu.edu/etd/7149

University of Oklahoma

23. Ivansic, Dubravko. Volumes and topology of hyperbolic 4-manifolds.

Degree: PhD, Department of Mathematics, 1998, University of Oklahoma

URL: http://hdl.handle.net/11244/5715

► It is known that the volume function for hyperbolic manifolds of dimension { ≥ }3 is finite-to-one. We show that the number of nonhomeomorphic hyperbolic 4-manifolds with… (more)

Subjects/Keywords: Four-manifolds (Topology); Mathematics.; Geometry, Hyperbolic.; Volume (Cubic content)

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APA (6^th Edition):

Ivansic, D. (1998). Volumes and topology of hyperbolic 4-manifolds. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/5715

Chicago Manual of Style (16^th Edition):

Ivansic, Dubravko. “Volumes and topology of hyperbolic 4-manifolds.” 1998. Doctoral Dissertation, University of Oklahoma. Accessed January 18, 2021. http://hdl.handle.net/11244/5715.

MLA Handbook (7^th Edition):

Ivansic, Dubravko. “Volumes and topology of hyperbolic 4-manifolds.” 1998. Web. 18 Jan 2021.

Vancouver:

Ivansic D. Volumes and topology of hyperbolic 4-manifolds. [Internet] [Doctoral dissertation]. University of Oklahoma; 1998. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11244/5715.

Council of Science Editors:

Ivansic D. Volumes and topology of hyperbolic 4-manifolds. [Doctoral Dissertation]. University of Oklahoma; 1998. Available from: http://hdl.handle.net/11244/5715

24. Franchetti, Guido. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.

Degree: PhD, 2014, University of Cambridge

URL: https://doi.org/10.17863/CAM.16127 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590261

► This thesis is divided in two parts. The first one is devoted to the dynamics of polariton condensates, with particular attention to their pattern-forming capabilities.… (more)

▼ This thesis is divided in two parts. The first one is devoted to the dynamics of polariton condensates, with particular attention to their pattern-forming capabilities. In many configurations of physical interest, the dynamics of polariton condensates can be modelled by means of a non-linear PDE which is strictly related to the Gross-Pitaevskii and the complex Ginzburg-Landau equations. Numerical simulations of this equation are used to investigate the robustness of the rotating vortex lattice which is predicted to spontaneously form in a non-equilibrium trapped condensate. An idea for a polariton-based gyroscope is then presented. The device relies on peculiar properties of non-equilibrium condensates - the possibility of controlling the vortex emission mechanism and the use of pumping strength as a control parameter - and improves on existing proposals for superfluid-based gyroscopes. Finally, the important rôle played by quantum pressure in the recently observed transition from a phase-locked but freely flowing condensate to a spatially trapped one is discussed. The second part of this thesis presents work done in the context of the geometrical models of matter framework, which aims to describe particles in terms of 4-dimensional manifolds. Conserved quantum numbers of particles are encoded in the topology of the manifold, while dynamical quantities are to be described in terms of its geometry. Two infinite families of manifolds, namely ALF gravitational instantons of types A_k and D_k, are investigated as possible models for multi-particle systems. On the basis of their topological and geometrical properties it is concluded that A_k can model a system of k+1 electrons, and D_k a system of a proton and k-1 electrons. Energy functionals which successfully reproduce the Coulomb interaction energy, and in one case also the rest masses, of these particle systems are then constructed in terms of the area and Gaussian curvature of preferred representatives of middle dimension homology. Finally, an idea for constructing multi-particle models by gluing single-particle ones is discussed.

Subjects/Keywords: 530.12; Polariton condensates; Non-equilibrium physics; Topological solitons; Four-manifolds

…also the empty space in which the particles reside. These manifolds need therefore to reduce… …of describing particles by means of 4-dimensional manifolds, while being inspired by older… …presents various attempts at the construction of an energy functional for these manifolds. Both… …framework proposed in [6], two infinite families of 4-manifolds, ALF gravitational… …first Chern number of a branched double cover. The particle interpretation of these manifolds…

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APA (6^th Edition):

Franchetti, G. (2014). Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.16127 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590261

Chicago Manual of Style (16^th Edition):

Franchetti, Guido. “Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.” 2014. Doctoral Dissertation, University of Cambridge. Accessed January 18, 2021. https://doi.org/10.17863/CAM.16127 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590261.

MLA Handbook (7^th Edition):

Franchetti, Guido. “Pattern-forming in non-equilibrium quantum systems and geometrical models of matter.” 2014. Web. 18 Jan 2021.

Vancouver:

Franchetti G. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. [Internet] [Doctoral dissertation]. University of Cambridge; 2014. [cited 2021 Jan 18]. Available from: https://doi.org/10.17863/CAM.16127 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590261.

Council of Science Editors:

Franchetti G. Pattern-forming in non-equilibrium quantum systems and geometrical models of matter. [Doctoral Dissertation]. University of Cambridge; 2014. Available from: https://doi.org/10.17863/CAM.16127 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590261

Michigan State University

25. Jabuka, Stanislav. Grafting Seiberg-Witten monopoles.

Degree: PhD, Department of Mathematics, 2002, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:31601

Subjects/Keywords: Seiberg-Witten invariants; Global analysis (Mathematics); Four-manifolds (Topology); Mathematical physics

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APA (6^th Edition):

Jabuka, S. (2002). Grafting Seiberg-Witten monopoles. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:31601

Chicago Manual of Style (16^th Edition):

Jabuka, Stanislav. “Grafting Seiberg-Witten monopoles.” 2002. Doctoral Dissertation, Michigan State University. Accessed January 18, 2021. http://etd.lib.msu.edu/islandora/object/etd:31601.

MLA Handbook (7^th Edition):

Jabuka, Stanislav. “Grafting Seiberg-Witten monopoles.” 2002. Web. 18 Jan 2021.

Vancouver:

Jabuka S. Grafting Seiberg-Witten monopoles. [Internet] [Doctoral dissertation]. Michigan State University; 2002. [cited 2021 Jan 18]. Available from: http://etd.lib.msu.edu/islandora/object/etd:31601.

Council of Science Editors:

Jabuka S. Grafting Seiberg-Witten monopoles. [Doctoral Dissertation]. Michigan State University; 2002. Available from: http://etd.lib.msu.edu/islandora/object/etd:31601

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

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/282753

► 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

…which is the formal adjoint of d with respect to this inner product. For four-manifolds it is… …a symmetric bilinear form, defined for compact oriented four-manifolds X by QX : H 2… …understanding four-manifolds, as can be read in [12]. In particular, this argument shows… …complex and symplectic manifolds and some tools from functional analysis. We will be brief with… …always possible. Furthermore, note that orientable manifolds admit exactly two orientations, or…

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APA (6^th 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 (16^th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/282753.

MLA Handbook (7^th Edition):

Klaasse, R L. “Seiberg-Witten theory for symplectic manifolds.” 2013. Web. 18 Jan 2021.

Vancouver:

Klaasse RL. Seiberg-Witten theory for symplectic manifolds. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Jan 18]. 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

27. Krom, Robin Sebastian. The Donaldson Geometric Flow.

Degree: 2016, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/115920

Subjects/Keywords: FOUR-DIMENSIONAL MANIFOLDS (TOPOLOGY); VIERDIMENSIONALE MANNIGFALTIGKEITEN (TOPOLOGIE); SYMPLEKTISCHE MANNIGFALTIGKEITEN (DIFFERENTIALGEOMETRIE); SYMPLECTIC MANIFOLDS (DIFFERENTIAL GEOMETRY); FLUSS (DYNAMISCHE SYSTEME); FLOW (DYNAMICAL SYSTEMS); info:eu-repo/classification/ddc/510; Mathematics

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APA (6^th Edition):

Krom, R. S. (2016). The Donaldson Geometric Flow. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/115920

Chicago Manual of Style (16^th Edition):

Krom, Robin Sebastian. “The Donaldson Geometric Flow.” 2016. Doctoral Dissertation, ETH Zürich. Accessed January 18, 2021. http://hdl.handle.net/20.500.11850/115920.

MLA Handbook (7^th Edition):

Krom, Robin Sebastian. “The Donaldson Geometric Flow.” 2016. Web. 18 Jan 2021.

Vancouver:

Krom RS. The Donaldson Geometric Flow. [Internet] [Doctoral dissertation]. ETH Zürich; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/20.500.11850/115920.

Council of Science Editors:

Krom RS. The Donaldson Geometric Flow. [Doctoral Dissertation]. ETH Zürich; 2016. Available from: http://hdl.handle.net/20.500.11850/115920

28. Le Bihan, Bastien. Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models.

Degree: Docteur es, Mathématiques appliquées, Astrophysique, sciences de l'espace, planétologie, 2017, Toulouse, ISAE

URL: http://www.theses.fr/2017ESAE0046

►

Au cours des dernières décennies, l’étude de la dynamique autour des points de Lagrange des systèmes Terre-Lune (EMLi) et Terre-Soleil (SELi) a ouvert de nouvelles… (more)

▼

Au cours des dernières décennies, l’étude de la dynamique autour des points de Lagrange des systèmes Terre-Lune (EMLi) et Terre-Soleil (SELi) a ouvert de nouvelles possibilités pour les orbites et les transferts spatiaux. Souvent modélisés comme des Problèmes à Trois Corps (CR3BP) distincts, ces deux systèmes ont également été combinés pour produire des trajectoiresà faible coût dans le système Terre-Lune-Soleil étendu. Cette approximation (PACR3BP) a permis de mettre en évidence un réseau à faible énergie de trajectoires (LEN) qui relie la Terre, la Lune, EML1,2 et SEL1,2. Cependant, pour chaque trajectoire calculée, le PACR3BP nécessite une connexion arbitraire entre les CR3BPs, ce qui complique son utilisation systématique. Cette thèse vise à mettre en place une modélisation à quatre corps non autonome pour l’étude du LEN basé sur un système Hamiltonien périodique cohérent, le Problème Quasi-Bicirculaire (QBCP). Tout d’abord, la Méthode de Paramétrisation est appliquée afin d’obtenir une représentation semi-analytique des variétés invariantes autour de chaque point de Lagrange. Une recherche systématique de connexions EML1,2-SEL1,2 peut alors être effectuée dans l’espace des paramètres : les conditions initiales sur la variété centrale-instable de EML1,2 sont propagées et les trajectoires résultantes sont projetées sur la variété centrale de SEL1,2 . Un transfert est détecté lorsque la distance de projection est proche de zéro. Les familles de transfert obtenues sont corrigées dans un modèle newtonien haute-fidélité du système solaire. La structure globale des connections est largement préservée et valide l’utilisation du QBCP comme modèle de base du LEN.

In recent decades, the dynamics about the libration points of the Sun-Earth (SELi) and Earth-Moon (EMLi ) systems have been increasingly studied and used, both in terms of transfer trajectory computation and nominal orbit design. Often seen as two distinct Circular Restricted Three Body Problems (CR3BP), both systems have also been combined to produce efficient transfers in the Sun-Earth-Moon system. This patched CR3BP approximation (PACR3BP) allowed to uncover a low-energy network (LEN) of trajectories that interconnect the Earth, the Moon, EML1,2 and SEL1,2 . However, for every computed trajectory, the PACR3BP requires an arbitrary connection between the CR3BPs, which limits its use in a systematic tool. This thesis introduces a single non-autonomous four-body framework for the study of the LEN based on a coherent periodically-forced Hamiltonian system, the Quasi-Bicircular Problem (QBCP). First, the Parameterization Method is applied in order to obtain high-order, periodic, semi-analytical parameterizations of the invariant manifolds about each libration point. A systematic search for EML1,2 -SEL1,2 connections can then be performed in the parameterization space: initial conditions on the center-unstable manifold at EML1,2 are propagated and projected on the center manifold at SEL1,2. A transfer is found each time that the distance of projection is close to…

Advisors/Committee Members: Masdemont, Josep J. (thesis director), Matignon, Denis (thesis director).

Subjects/Keywords: Système Terre-Lune-Soleil; Problème à quatre corps restreint; Point de Lagrange; Variétés invariantes; Transferts libres; Sun-Earth-Moon system; Restricted four-Body problem; Libration point; Invariant manifolds; Natural transfers; 510

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APA (6^th Edition):

Le Bihan, B. (2017). Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models. (Doctoral Dissertation). Toulouse, ISAE. Retrieved from http://www.theses.fr/2017ESAE0046

Chicago Manual of Style (16^th Edition):

Le Bihan, Bastien. “Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models.” 2017. Doctoral Dissertation, Toulouse, ISAE. Accessed January 18, 2021. http://www.theses.fr/2017ESAE0046.

MLA Handbook (7^th Edition):

Le Bihan, Bastien. “Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models.” 2017. Web. 18 Jan 2021.

Vancouver:

Le Bihan B. Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models. [Internet] [Doctoral dissertation]. Toulouse, ISAE; 2017. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2017ESAE0046.

Council of Science Editors:

Le Bihan B. Étude de la dynamique autour et entre les points de Lagrange de modèles Terre-Lune-Soleil cohérents : Study of dynamics about and between libration points of Sun-Earth-Moon coherent models. [Doctoral Dissertation]. Toulouse, ISAE; 2017. Available from: http://www.theses.fr/2017ESAE0046

29. Wang, Mingchuan. A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques.

Degree: Docteur es, Matériaux, Mécanique, Optique et Nanotechnologie, 2016, Troyes

URL: http://www.theses.fr/2016TROY0025

►

L’objectif de ce travail est d’établir des modèles de comportement mécaniques pour les matériaux en grandes déformations. Au lieu des approches classiques en 3D dans… (more)

▼

L’objectif de ce travail est d’établir des modèles de comportement mécaniques pour les matériaux en grandes déformations. Au lieu des approches classiques en 3D dans lesquelles la notion d'objectivité est ambigüe et pour lesquelles différentes dérivées objectives sont utilisées arbitrairement, le formalisme quadridimensionnel dérivé des théories de la Relativité est appliqué. En 4D, les deux aspects de la notion d’objectivité, l’indépendance du référentiel (ou covariance) et l’invariance à la superposition de mouvement de corps rigide, peuvent désormais être distinguées. En outre, l’utilisation du formalisme 4D assure la covariance des modèles. Pour les modèles incrémentaux, la dérivée de Lie est choisie permettant une variation totale par rapport au temps, tout en étant à la fois covariante et invariante à la superposition des mouvements de corps rigide. Dans ce formalisme 4D, nous proposons également un cadre thermodynamique en 4D pour développer des modèles de comportement en 4D tels que l’hyperélasticité, l’élasticité anisotrope, l’hypoélasticité et l’élastoplasticité. Ensuite, les projections en 3D sont obtenus à partir des modèles en 4D et étudiés en les testant sur des simulations numériques par éléments finis avec le logiciel Zset

The objective of this work is to establish mechanical constitutive models for materials undergoing large deformations. Instead of the classical 3D approaches in which the notion of objectivity is ambiguous and different objective transports may be arbitrarily used, the four-dimensional formalism derived from the theories of Relativity is applied. Within a 4D formalism, the two aspects of notion of objectivity: frame-indifference (or covariance) and invariance to the superposition of rigid body motions can now be distinguished. Besides, the use of this 4D formalism ensures the covariance of the models. For rate-form models, the Lie derivative is chosen as a total time derivative, which is also covariant and invariant to the superposition of rigid body motions. Within the 4D formalism, we also propose a framework using the 4D thermodynamic to develop 4D constitutive models for hyperelasticity, anisotropic elasticity, hypoelasticity and elastoplasticity. Then, 3D models are derived from 4D models and studied by applying them in numerical simulations with finite element methods using the software Zset

Advisors/Committee Members: Panicaud, Benoît (thesis director), Rouhaud, Emmanuelle (thesis director).

Subjects/Keywords: Matériaux, propriétés mécaniques; Objectivité; Thermodynamique; Éléments finis, méthode des; Modèles mathématiques; Variétés topologiques à 4 dimensions; Élastoplasticité; Materials, mechanical properties; Objectivity; Thermodynamics; Finite element method; Mathematical models; Four-manifolds; Elastoplasticity; 620.112

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APA (6^th Edition):

Wang, M. (2016). A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques. (Doctoral Dissertation). Troyes. Retrieved from http://www.theses.fr/2016TROY0025

Chicago Manual of Style (16^th Edition):

Wang, Mingchuan. “A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques.” 2016. Doctoral Dissertation, Troyes. Accessed January 18, 2021. http://www.theses.fr/2016TROY0025.

MLA Handbook (7^th Edition):

Wang, Mingchuan. “A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques.” 2016. Web. 18 Jan 2021.

Vancouver:

Wang M. A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques. [Internet] [Doctoral dissertation]. Troyes; 2016. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2016TROY0025.

Council of Science Editors:

Wang M. A covariant 4D formalism to establish constitutive models : from thermodynamics to numerical applications : Modèles covariants de comportement issus d'un formalisme 4D : de la thermodynamique aux applications numériques. [Doctoral Dissertation]. Troyes; 2016. Available from: http://www.theses.fr/2016TROY0025

30. Broens, J.P.S. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.

Degree: 2013, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/281795

► Instantons and electric-magnetic duality are two phenomena that arise in the interplay between gauge theory and four-dimensional geometry. An important class of instantons in four-dimensional… (more)

Subjects/Keywords: Instantons; Yang – Mills theory; Electric-magnetic duality; Maxwell theory; four-manifolds; del Pezzo surfaces

…manifolds that serve as models for curved space-time are called Lorentzian four-manifolds. The… …metric, which is positive-definite. These manifolds are known as four-dimensional Riemannian… …structure of the underlying Riemannian four-manifolds has led to a revolution in mathematics. A… …manifolds Several groundbreaking results in four-manifold theory came about in the late 70s and… …the 80s. The intersection form of four-manifolds played a central role in those…

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

APA (6^th Edition):

Broens, J. P. S. (2013). Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/281795

Chicago Manual of Style (16^th Edition):

Broens, J P S. “Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.” 2013. Masters Thesis, Universiteit Utrecht. Accessed January 18, 2021. http://dspace.library.uu.nl:8080/handle/1874/281795.

MLA Handbook (7^th Edition):

Broens, J P S. “Instantons and Electric-Magnetic Duality on Del Pezzo surfaces.” 2013. Web. 18 Jan 2021.

Vancouver:

Broens JPS. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. [Internet] [Masters thesis]. Universiteit Utrecht; 2013. [cited 2021 Jan 18]. Available from: http://dspace.library.uu.nl:8080/handle/1874/281795.

Council of Science Editors:

Broens JPS. Instantons and Electric-Magnetic Duality on Del Pezzo surfaces. [Masters Thesis]. Universiteit Utrecht; 2013. Available from: http://dspace.library.uu.nl:8080/handle/1874/281795

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Open Access Theses and Dissertations