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On a question of Etnyre and Van Horn-Morris

Tetsuya Ito and Keiko Kawamuro
Algebraic & Geometric Topology 17 (2017) 561–566
DOI: 10.2140/agt.2017.17.561
Abstract

The purpose of this note is to answer Question 6.12 of Etnyre and Van Horn-Morris [Monoids in the mapping class group, Geom. Topol. Monographs 19 (2015) 319–365], asking when the set of mapping classes whose fractional Dehn twist coefficient is greater than a given constant forms a monoid.

Keywords
Fractional Dehn twist coefficient, monoid, mapping class group
Mathematical Subject Classification 2010
Primary: 57M07
Secondary: 20F65
References
Publication
Received: 4 May 2016
Revised: 16 May 2016
Accepted: 6 June 2016
Published: 26 January 2017
Authors
Tetsuya Ito
Department of Mathematics
Osaka University
1-1 Machikaneyama Toyonaka
Osaka 560-0043
Japan
http://www.math.sci.osaka-u.ac.jp/~tetito/
Keiko Kawamuro
Department of Mathematics
The University of Iowa
14 McLean Hall
Iowa City, IA 52242
United States