Search for dissertations about: "Contact geometry"

Showing result 1 - 5 of 161 swedish dissertations containing the words Contact geometry.

2. 1. Chekanov-Eliashberg dg-algebras and partially wrapped Floer cohomology

   Author : Johan Asplund; Tobias Ekholm; Baptiste Chantraine; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; Contact geometry; Chekanov-Eliashberg dg-algebra; partially wrapped Floer cohomology; Lagrangian submanifold; Legendrian submanifold; singular Legendrians; based loop space; Mathematics; Matematik;

   Abstract : This thesis consists of an introduction and two research papers in the fields of symplectic and contact geometry. The focus of the thesis is on Floer theory and symplectic field theory. READ MORE

4. 2. Small energy isotopies of loose Legendrian submanifolds

   Author : Lukas Nakamura; Tobias Ekholm; Álvaro del Pino Gómez; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; contact geometry; Legendrian submanifolds; Chekanov-Shelukhin-Hofer energy; Mathematics; Matematik;

   Abstract : In the first paper, we prove that for a closed Legendrian submanifold L of dimension n>2 with a loose chart of size η, any Legendrian isotopy starting at L can be C0-approximated by a Legendrian isotopy with energy arbitrarily close to η/2. This in particular implies that the displacement energy of loose displaceable Legendrians is bounded by half the size of its smallest loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan. READ MORE

5. 3. 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

6. 4. Simple homotopy type of the Hamiltonian Floer complex

   Author : Sebastian Pöder Balkeståhl; Thomas Kragh; Sonja Hohloch; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : For an aspherical symplectic manifold M, closed or with convex contact boundary, and with vanishing first Chern class, a Floer chain complex is defined for Hamiltonians linear at infinity with coefficients in the group ring of the fundamental group of M. For two non-degenerate Hamiltonians of the same slope continuation maps are shown to be simple homotopy equivalences. 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