Affiliation:
1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11158 Belgrade, Serbia
Abstract
Using Floer-theoretic methods, we prove that the non-existence of an exotic symplectomorphism on the standard symplectic ball, [Formula: see text] implies a rather strict topological condition on the free contact circle actions on the standard contact sphere, [Formula: see text] We also prove an analogue for a Liouville domain and contact circle actions on its boundary. Applications include results concerning the symplectic mapping class group and the fundamental group of the group of contactomorphisms.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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1. Hamiltonian perturbations in contact Floer homology;Journal of Fixed Point Theory and Applications;2022-10-04