On virtual embeddings of braid groups into mapping class groups of surfaces

2022/03/28 by Takuya Katayama, Katayama, Takuya, Erika Kuno +1
Computer Science · Mathematics · #20F36 #20F65 #57K20 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2203.14587

openalex publication_date 2022/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we give a necessary and sufficient condition for embedding a finite index subgroup of Artin's braid group into the mapping class group of a connected orientable surface.

Related

• Embeddings of braid groups into mapping class groups and their homology
• Embeddings and the (virtual) cohomological dimension of the braid and mapping class groups of surfaces
• From braid groups to mapping class groups
• From braid groups to mapping class groups
• The braidings in the mapping class groups of surfaces