Monoids in the mapping class group

2015/04/08 by John B. Etnyre, Etnyre, John B., Jeremy Van Horn-Morris +1
Mathematics · #57R17 #57R50 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1504.02106

openalex publication_date 2015/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Floer homology and knot complements

Related

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• Fifteen problems about the mapping class groups
• A Presentation of the Mapping Class Groups
• From braid groups to mapping class groups
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