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Visar resultat 1 - 5 av 7 avhandlingar som matchar ovanstående sökkriterier.
1. Surgeries on Legendrian Submanifolds
Sammanfattning : This thesis consists of a summary of two papers dealing with questions related to Legendrian submanifolds of contact manifolds together with exact Lagrangian cobordisms between Legendrian submanifolds. The focus is on studying Legendrian submanifolds from the perspective of their handle decompositions. LÄS MER
2. Orienting Moduli Spaces of Flow Trees for Symplectic Field Theory
Sammanfattning : This thesis consists of three scientific papers dealing with invariants of Legendrian and Lagrangian submanifolds. Besides the scientific papers, the thesis contains an introduction to contact and symplectic geometry, and a brief outline of Symplectic field theory with focus on Legendrian contact homology. LÄS MER
3. G-structures and Families of Isotropic Submanifolds in Complex Contact Manifolds
Sammanfattning : We study a generalized twistor correspondence between irreducible G-structures (with torsion in general) on complex manifolds Z and moduli spaces M of deformations of isotropic homogeneous submanifolds X in complex contact manifolds Y.For any irreducible G-structure on a complex manifold M we present an explicit construction of a contact manifold (a generalized twistor space) Y with contact line bundle L and a family F of isotropic submanifolds X in Y having M as its moduli space. LÄS MER
4. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras
Sammanfattning : This thesis consists of two parts, which can be read separately. In the first part we study aspects of topological field theories. We show how to topologically twist three-dimensional N=2 supersymmetric Chern-Simons theory using a contact structure on the underlying manifold. LÄS MER
5. Aspects of vacuum moduli in string theory
Sammanfattning : In this thesis we explore geometric aspects of the space of vacua in supersymmetric string compactifications. More specifically, we will look at heterotic strings compactified on Calabi-Yau manifolds and, separately, G2 structure manifolds. LÄS MER