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 $⩾4$ has infinite order in the symplectic mapping class group.

22 pages, 1 figure

References in corpus (2)

• Functors and Computations in Floer homology with Applications Part II
• Floer homology of automorphisms of Liouville domains

Cited by in corpus (2)

• Exotic symplectomorphisms and contact circle actions
• Persistence modules, symplectic Banach-Mazur distance and Riemannian metrics