Hamiltonian Floer homology for compact convex symplectic manifolds
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.
Keywords
Cite
@article{arxiv.1302.1025,
title = {Hamiltonian Floer homology for compact convex symplectic manifolds},
author = {Sergei Lanzat},
journal= {arXiv preprint arXiv:1302.1025},
year = {2016}
}
Comments
29 pages. The final version appeared in Beitr\"age zur Algebra und Geometrie / Contributions to Algebra and Geometry. Version 3 is the last arxiv version: various corrections and clarifications were made, references were added