Sökning: "Legendrian contact homology"

Hittade 3 avhandlingar innehållade orden Legendrian contact homology.

1. 1. Surgeries on Legendrian Submanifolds

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

   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

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

   Författare :Cecilia Karlsson; Tobias Ekholm; Vincent Colin; Uppsala universitet; []
   Nyckelord :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;

   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

4. 3. Knots and Surfaces in Real Algebraic and Contact Geometry

   Författare :Johan Björklund; Tobias Ekholm; Grigory Mikhalkin; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri; Mathematics; Matematik;

   Sammanfattning : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. LÄS MER