Search for dissertations about: "Contact manifolds"

Showing result 1 - 5 of 7 swedish dissertations containing the words Contact manifolds.

2. 1. Surgeries on Legendrian Submanifolds

   Author : Georgios Dimitroglou Rizell; Tobias Ekholm; Frédéric Bourgeois; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Contact manifolds; Legendrian submanifolds; Legendrian contact homology; Augmentations; Exact Lagrangian cobordisms; Mathematics; Matematik;

   Abstract : 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. READ MORE

4. 2. Orienting Moduli Spaces of Flow Trees for Symplectic Field Theory

   Author : Cecilia Karlsson; Tobias Ekholm; Vincent Colin; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Contact manifolds; Legendrian submanifolds; Lagrangian immersions; Legendrian contact homology; Morse flow trees; Determinant line bundles; Orientation of moduli spaces; Exact Lagrangian cobordisms; Mathematics; Matematik;

   Abstract : 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. READ MORE

5. 3. G-structures and Families of Isotropic Submanifolds in Complex Contact Manifolds

   Author : Patrik Hellgren; Sergei Merkulov; Henrik Pedersen; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Differential geometry; twistor; G-structures; deformation; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : 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. READ MORE

6. 4. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras

   Author : Johan Källén; Maxim Zabzine; Mathias Blau; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Topological field theory; Chern-Simons theory; Contact geometry; Sigma models; Poisson vertex algebras; Vertex algebras; String theory; Theoretical Physics; Teoretisk fysik;

   Abstract : 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. READ MORE

7. 5. Aspects of vacuum moduli in string theory

   Author : Matthew Magill; Magdalena Larfors; James Sparks; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; string compactifications; g structures; homological algebra; Theoretical Physics; Teoretisk fysik;

   Abstract : 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. READ MORE