Filtered floer and symplectic homology via Gromov-Witten theory
Abstract/Contents
- Abstract
- We describe a procedure for computing Floer and symplectic homology groups, with action filtration and algebraic operations, in a class of examples. Namely, we consider closed monotone symplectic manifolds with smooth symplectic divisors, Poincaré dual to a positive multiple of the symplectic form. We express the Floer homology of the manifold and the symplectic homology of the complement of the divisor, for a special class of Hamiltonians, in terms of absolute and relative Gromov--Witten invariants, and some additional Morse-theoretic information. As an application, we compute the symplectic homology rings of cotangent bundles of spheres, and compare our results with an earlier computation in string topology.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2012 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | de Matos Geraldes Diogo, Luís Miguel Pereira |
|---|---|
| Associated with | Stanford University, Department of Mathematics |
| Primary advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Galatius, Søren, 1976- |
| Thesis advisor | Ionel, Eleny |
| Advisor | Galatius, Søren, 1976- |
| Advisor | Ionel, Eleny |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Luís Miguel Pereira de Matos Geraldes Diogo. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2012. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2012 by Luís Miguel Pereira de Matos Geraldes Diogo
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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