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Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions

Fabio Gironella
Algebraic & Geometric Topology 19 (2019) 1207–1227
DOI: 10.2140/agt.2019.19.1207
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.

Keywords
contact geometry, contact topology, contact mapping group, contact mapping class, nontrivial contact mapping classes
Mathematical Subject Classification 2010
Primary: 53D10, 57R17
References
Publication
Received: 18 May 2017
Revised: 1 September 2018
Accepted: 11 September 2018
Published: 21 May 2019
Authors
Fabio Gironella
Alfréd Rényi Institute of Mathematics
Budapest
Hungary