Floer Homology for Symplectomorphism

Details Floer Homology for Symplectomorphism Floer Homology for Symplectomorphism

2007-08-11

arxiv.org/abs/0708.1554v1

Mathematics

Symplectic Geometry

41 pages

Scientific paper

Let (M,\omega) be a compact symplectic manifold, and \phi be a symplectic diffeomorphism on M, we define a Floer-type homology FH_*(\phi) 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 \phi up to a Hamiltonian isotopy.

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