Floer Homology for Symplectomorphism
Symplectic Geometry
2007-08-14 v1
Abstract
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.
Cite
@article{arxiv.0708.1554,
title = {Floer Homology for Symplectomorphism},
author = {Hai-Long Her},
journal= {arXiv preprint arXiv:0708.1554},
year = {2007}
}
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41 pages