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

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Abstract

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.

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Correspondence to Mark McLean.

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McLean, M. Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map. Sel. Math. New Ser. 18, 473–512 (2012). https://doi.org/10.1007/s00029-011-0079-6

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