Search for dissertations about: "Symplectic geometry"
Showing result 1 - 5 of 13 swedish dissertations containing the words Symplectic geometry.
-
1. 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
-
2. Cohomology of the moduli space of curves of genus three with level two structure
Abstract : In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. READ MORE
-
3. Multipoint Okounkov bodies
Abstract : During the nineties, the field medallist Okounkov found a way to associate to an ample line bundle L over an n−complex dimensional projective manifold X a convex body in Rn, now called Okounkov body ∆(L). The construction depends on the choice of a valuation centered at one point p∈X and it works even if L is a big line bundle. READ MORE
-
4. Simple homotopy type of the Hamiltonian Floer complex
Abstract : For an aspherical symplectic manifold M, closed or with convex contact boundary, and with vanishing first Chern class, a Floer chain complex is defined for Hamiltonians linear at infinity with coefficients in the group ring of the fundamental group of M. For two non-degenerate Hamiltonians of the same slope continuation maps are shown to be simple homotopy equivalences. READ MORE
-
5. Stable phenomena for some automorphism groups in topology
Abstract : This licentiate thesis consists of two papers about topics related to representation stability for different automorphisms groups of topological spaces and manifolds.In Paper I, we study the rational homology groups of \textit{Torelli groups} of smooth, compact and orientable surfaces. READ MORE
