On a question of Etnyre and Van Horn-Morris

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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.

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Ito, T., & Kawamuro, K. (2017). On a question of Etnyre and Van Horn-Morris. Algebraic and Geometric Topology, 17(1), 561–566. https://doi.org/10.2140/agt.2017.17.561

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