Floer homology of automorphisms of Liouville domains

Abstract

We introduce a combination of fixed point Floer homology and symplectic homology for Liouville domains. As an application, we detect non-trivial elements in the symplectic mapping class group of a Liouville domain.

30 pages, v3: major revision

References in corpus (1)

• Functors and Computations in Floer homology with Applications Part II

Cited by in corpus (6)

• Floer Cohomology, Multiplicity and the Log Canonical Threshold
• First Steps in Twisted Rabinowitz-Floer Homology
• Volume growth in the component of fibered twists
• The diffeomorphism type of symplectic fillings
• Exotic symplectomorphisms and contact circle actions
• Viterbo's transfer morphism for symplectomorphisms