Sökning: "Lagrangian submanifold"

Hittade 4 avhandlingar innehållade orden Lagrangian submanifold.

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

    Författare :Johan Asplund; Tobias Ekholm; Baptiste Chantraine; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  3. 2. 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

  4. 3. Local systems and vanishing of Maslov class

    Författare :Axel Husin; Thomas Kragh; Jack Smith; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Let L be a closed exact Lagrangian submanifold in the cotangent bundle T*X of a closed manifold X. We present partial results towards a new proof using Lagrangian intersection Floer theory that the Maslov class of L vanishes... LÄS MER

  5. 4. 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