Examples of non-trivial contact mapping classes for overtwisted contact manifolds in all dimensions

Abstract

We construct (infinitely many) examples in all dimensions of contactomorphisms of closed overtwisted contact manifolds that are smoothly isotopic but not contact-isotopic to the identity.

v3: Considerable improvement in both content and form, thanks to referee's suggestions; version corresponding to the published one; 18 pages. v2: Minor changes with respect to the first version, 20 pages

References in corpus (3)

• On the contact mapping class group of Legendrian circle bundles
• Examples of non-trivial contact mapping classes in all dimensions
• On plastikstufe, bordered Legendrian open book and overtwisted contact structures

Cited by in corpus (1)

• On partially hyperbolic diffeomorphisms in dimension three via a notion of autonomous dynamics