Floer Homology for Symplectomorphism

Hai-Long Her

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arXiv · 0708.1554

Floer Homology for Symplectomorphism

Hai-Long Her

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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.

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BibTeX RIS

Hai-Long Her. 2007-08-11. Floer Homology for Symplectomorphism. https://arxiv.org/abs/0708.1554

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