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arXiv · 1302.1025

Hamiltonian Floer homology for compact convex symplectic manifolds

Sergei Lanzat
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Abstract

We construct absolute and relative versions of Hamiltonian Floer homology algebras for strongly semi-positive compact symplectic manifolds with convex boundary, where the ring structures are given by the appropriate versions of the pair-of-pants products. We establish the absolute and relative Piunikhin-Salamon-Schwarz isomorphisms between these Floer homology algebras and the corresponding absolute and relative quantum homology algebras. As a result, the absolute and relative analogues of the spectral invariants on the group of compactly supported Hamiltonian diffeomorphisms are defined.

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Sergei Lanzat. 2015-10-22. Hamiltonian Floer homology for compact convex symplectic manifolds. https://doi.org/10.1007/s13366-015-0254-6

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