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 |
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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 | |
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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 |
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Bibliographic information
Statement of responsibility | Luís Miguel Pereira de Matos Geraldes Diogo. |
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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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