Exotic symplectomorphisms and contact circle actions

Dušan Drobnjak, Igor Uljarević*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Using Floer-theoretic methods, we prove that the non-existence of an exotic symplectomorphism on the standard symplectic ball, 2n, implies a rather strict topological condition on the free contact circle actions on the standard contact sphere, 2n-1. 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.

Original languageEnglish
Article number2150045
JournalCommunications in Contemporary Mathematics
Issue number3
StatePublished - 1 Apr 2022
Externally publishedYes


  • Exotic symplectomorphisms
  • contact circle actions
  • symplectic mapping class group


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