Viterbo’s transfer morphism for symplectomorphisms. (English) Zbl 1414.53078
Summary: 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 \(\geq 4\) has infinite order in the symplectic mapping class group.
MSC:
| 53D40 | Symplectic aspects of Floer homology and cohomology |
| 37J10 | Symplectic mappings, fixed points (dynamical systems) (MSC2010) |
Keywords:
Floer homology; symplectic geometry; symplectic mapping class group; Liouville domain; Dehn-Seidel twist; Lagrangian sphereReferences:
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