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 9 of 9 for “"Cobordisms"”.
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Compactness results for pseudo-holomorphic curves in symplectic cobordisms
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.
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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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A 2-categorical extension of the Reshetikhin--Turaev theory
… that extends the Reshetikhin-Turaev TQFT to cobordisms with corners. The source category will be a well chosen 2-category of decorated cobordisms with corners and the target bicategory will be the Kapranov-Voevodsky 2-vector spaces.</p>
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Bordered Heegaard Floer Homology and four-manifolds with corners
… 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 2+1 TQFT. We discuss an approach to synthesizing …
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Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families
… filling. We also show that from an immersed GF-cobordisms between Legendrian sub manifolds, there exists a long exact sequence relating the GF-cohomology groups of the two Legendrians and cohomology groups associated with the immersed Lagrangian. In addition, we give some constructions of …
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Results on spectral sequences for monopole and singular instanton Floer homologies
… we construct families of metrics on the cobordisms that are used to construct differentials in the spectral sequence relating the Khovanov homology of a link to the monopole Floer homology of its double branched cover, such that each metric has positive scalar curvature. This allows us to …
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The Seiberg-Witten equations on manifolds with boundary
… Part One, we make progress in understanding how cobordisms between Riemann surfaces may provide Lagrangian correspondences between their respective vortex moduli spaces. Moreover, we apply our results to provide analytic groundwork for Donaldson's TQFT approach to the Seiberg-Witten invariants of …
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Exact Lagrangian Fillings of Legendrian links and Weinstein 4-manifolds
… to the existence of exact Lagrangian cobordisms between Legendrian links that can be applied to obstructing certain immersed exact Lagrangian fillings.Weinstein domains are examples of a symplectic manifold with contact boundary that have a handle decomposition compatible with the …
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Hitchin Functionals, h-Principles and Spectral Invariants
… Next, it introduces $\widetilde{\mathrm{G}}_2$-cobordisms of closed $\mathrm{SL}(3;\mathbb{C})$ and $\mathrm{SL}(3;\mathbb{R})^2$ 3-forms and proves that homotopic forms are $\widetilde{\mathrm{G}}_2$-cobordant. Additionally, Chapter 9 classifies $\mathrm{SL}(3;\mathbb{C})$ 3-forms up to …