Algebraic & Geometric Topology

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

Fabio Gironella

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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.

Article information

Source
Algebr. Geom. Topol., Volume 19, Number 3 (2019), 1207-1227.

Dates
Received: 18 May 2017
Revised: 1 September 2018
Accepted: 11 September 2018
First available in Project Euclid: 29 May 2019

Permanent link to this document
https://projecteuclid.org/euclid.agt/1559095423

Digital Object Identifier
doi:10.2140/agt.2019.19.1207

Mathematical Reviews number (MathSciNet)
MR3954279

Zentralblatt MATH identifier
07078602

Subjects
Primary: 53D10: Contact manifolds, general 57R17: Symplectic and contact topology

Keywords
contact geometry contact topology contact mapping group contact mapping class nontrivial contact mapping classes

Citation

Gironella, Fabio. Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions. Algebr. Geom. Topol. 19 (2019), no. 3, 1207--1227. doi:10.2140/agt.2019.19.1207. https://projecteuclid.org/euclid.agt/1559095423


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