Title: Filtered floer and symplectic homology via Gromov-Wittentheory
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 mani...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,
Poincare 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.Read More
Publication Year: 2012
Publication Date: 2012-01-01
Language: en
Type: article
Access and Citation
Cited By Count: 2
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