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Monoids in the mapping class group

John B Etnyre and Jeremy Van Horn-Morris
Geometry & Topology Monographs 19 (2015) 319–365
DOI: 10.2140/gtm.2015.19.319

arXiv: 1504.02106
Abstract

In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of the mapping class groups and interesting geometry and topology in low-dimensions.

Keywords
mapping class group, monoid, contact geometry
Mathematical Subject Classification 2010
Primary: 57R17
Secondary: 20F36
References
Publication
Received: 10 August 2015
Accepted: 14 August 2015
Published: 29 December 2015
Authors
John B Etnyre
School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160
USA
http://www.math.gatech.edu/~etnyre
Jeremy Van Horn-Morris
Department of Mathematics
University of Arkansas
Fayetteville, AR 72701
USA