Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map

摘要

We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E ~1 page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this to show the existence of fixed points of certain symplectomorphisms.