Monoids in the mapping class group
John B. Etnyre, Jeremy Van Horn-Morris

TL;DR
This paper surveys the relationship between sub-monoids of mapping class groups and their connections to geometry and topology in low-dimensional spaces, offering new insights into their structure.
Contribution
It provides a comprehensive survey and introduces new observations about the link between sub-monoids of mapping class groups and low-dimensional geometry and topology.
Findings
Identification of key sub-monoids in mapping class groups
New observations linking monoid structures to geometric properties
Enhanced understanding of low-dimensional topological phenomena
Abstract
In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of mapping class groups and interesting geometry and topology in low-dimensions.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research
