Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Four-manifolds"”.
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Folded Symplectic Toric Four -Manifolds
… theorem of folded symplectic toric manifolds. This work is a step in that direction: the main result is a necessary and sufficient condition for two orientable, folded symplectic toric four-manifolds to be isomorphic.
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Bordered Heegaard Floer Homology and four-manifolds with corners
… Floer hat invariant is defined on closed 3-manifolds, with a related invariant for 4-dimensional cobordisms, forming a 3+1 topological quantum field theory. Bordered Heegaard Floer homology generalizes this invariant to parametrized Riemann surfaces and to cobordisms between them, yielding a …
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SPECIAL RIEMANNIAN STRUCTURES ON FOUR-MANIFOLDS: FROM TWISTOR SPACES TO UNOBSTRUCTED CONDITIONS
… deals with special Riemannian metrics on smooth manifolds: in particular, we study the relations between the existence of metrics satisfying curvature properties and the topology of the manifold they are defined on. In the first part of the work, we introduce Riemannian twistor spaces, which are …
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Aspects of Supersymmetry
… of supersymmetric quantum field theories in four and two dimensions. In four dimensions, 𝒩 = 1 supersymmetric quantum gauge theories on various four-manifolds are constructed. Many of their properties, some of which are distinct to the theories on flat spacetime, are analyzed. In two …
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On the Classification of Enriques Surfaces
… we prove that these resulting compact Einstein four-manifolds are diffeomorphic, and in fact of the same deformation type.
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Classical and quantum gravity with Ashtekar variables
… and constraint algebra of General Relativity in four dimensions. A classification scheme of the solution space of the Ashtekar constraints is proposed and the corresponding physics is investigated. The manifestly covariant equations of motion for the Ashtekar variables are derived. Explicit …
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Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences
… to complex geometry. Convex symplectic manifolds, symplectic divisors and Lagrangians are central objects to study on the symplectic side. The focus of the thesis is to establish relations of these symplectic objects to the corresponding complex analytic objects, namely Stein fillings, …
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Anti-self-dual fields and manifolds
… thesis we study anti–self–duality equations in four and eight dimensions on manifolds of special Riemannian holonomy, among these hyper–Kähler, Quaternion–Kähler and Spin(7)–manifolds. We first consider the octonionic anti–self–duality equations on manifolds with holonomy Spin(7). We construct …
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Group actions, cobordisms, and other aspects of 4-manifold theory through the eyes of Floer homology
Thesis (Ph. D.)--Michigan State University. Mathematics, 2010
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Pattern-forming in non-equilibrium quantum systems and geometrical models of matter
… 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 …