Floer Homology for Symplectomorphism

2007/08/11 by Hai-Long Her, Her, Hai-Long
Computer Science · Mathematics · #53D10 53D40 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0708.1554

openalex publication_date 2007/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (M,ω) be a compact symplectic manifold, and ϕbe a symplectic diffeomorphism on M, we define a Floer-type homology FH_*(ϕ) which is a gen- eralization of Floer homology for symplectic fixed points defined by Dostoglou and Salamon for monotone symplectic manifolds. These homology groups are modules over a suitable Novikov ring and depend only on ϕup to a Hamiltonian isotopy.

Citations

• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds

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