2013/02/28 by Sergei Lanzat · 8 citations
Chemistry · Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Amino acid #Cellular homology #Chemistry #Floer homology #Geometric and Algebraic Topology #Geometry #Hamiltonian (control theory) #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Morse homology #Pure mathematics #Regular polygon #Relative homology #Symplectic geometry #Symplectomorphism #math.SG #msc:53D05 #msc:53D40 #msc:53D45
paper · pdf · doi:10.1007/s13366-015-0254-6
published in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 57(2), 361-390 (Springer Science+Business Media) · 29 pages. The final version appeared in Beiträge 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
openalex publication_date 2015/05/28 · arxiv created 2015/10/22 · arxiv updated 2016/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.