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Filtered floer and symplectic homology via Gromov-Witten theory

Auteur: Luís Miguel Pereira De Matos Geraldes Diogo; Y Eliashberg; Søren Galatius; Eleny Ionel; Stanford University. Department of Mathematics.
Uitgever: 2012.
Proefschrift: Thesis (Ph. D.)--Stanford University, 2012.
Editie/Formaat:   Scriptie/Proefschrift : Document : Scriptie/Dissertatie : e-Boek   Computerbestand : Engels
Database:WorldCat
Samenvatting:
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  Meer lezen...
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Details

Genre: Document, Scriptie/Dissertatie, Internetbron
Soort document: Internetbron, Computerbestand
Alle auteurs / medewerkers: Luís Miguel Pereira De Matos Geraldes Diogo; Y Eliashberg; Søren Galatius; Eleny Ionel; Stanford University. Department of Mathematics.
OCLC-nummer: 809038246
Opmerkingen: Submitted to the Department of Mathematics.
Beschrijving: 1 online resource.
Verantwoordelijkheid: Luís Miguel Pereira de Matos Geraldes Diogo.

Fragment:

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.

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