Sökning: "Contact manifolds"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Contact manifolds.

  1. 1. Surgeries on Legendrian Submanifolds

    Författare :Georgios Dimitroglou Rizell; Tobias Ekholm; Frédéric Bourgeois; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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

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

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

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

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

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

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

    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. 5. Analysis of the phase space, asymptotic behavior and stability for heavy symmetric top and tippe top

    Författare :Markus Sköldstam; Stefan Rauch-Wojciechowski; Torkel Glad; Linköpings universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; symmetric top; tippe top; vertical rotation; truncated sphere; asymptotic trajectories; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we analyze the phase of the heavy symmetric top and the tippe top. These tops are two examples of physical systems for which the usefulness of integrals of motion and invariant manifolds, in phase space picture analysis, can be illustratedIn the case of the heavy symmetric top, simplified proofs of stability of the vertical rotation have been perpetuated by successive textbooks during the last century. LÄS MER