Sökning: "Legendrian submanifolds"

Hittade 3 avhandlingar innehållade orden Legendrian submanifolds.

  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. Small energy isotopies of loose Legendrian submanifolds

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

    Sammanfattning : 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. LÄS MER

  4. 3. 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