%0 Journal Article
%T Hamiltonian Floer homology for compact convex symplectic manifolds
%A Sergei Lanzat
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s13366-015-0254-6
%X 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.
%U http://arxiv.org/abs/1302.1025v3