Search for dissertations about: "legendrian submanifold"
Found 3 swedish dissertations containing the words legendrian submanifold.
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1. Surgeries on Legendrian Submanifolds
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
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2. Chekanov-Eliashberg dg-algebras and partially wrapped Floer cohomology
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
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3. Small energy isotopies of loose Legendrian submanifolds
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