Viterbo's transfer morphism for symplectomorphisms

Abstract

We construct an analogue of Viterbo's transfer morphism for Floer homology of an automorphism of a Liouville domain. As an application we prove that the Dehn-Seidel twist along any Lagrangian sphere in a Liouville domain of dimension ≥slant 4 has infinite order in the symplectic mapping class group.

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