English

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

Geometric Topology 2022-03-29 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.2203.14587,
  title  = {On virtual embeddings of braid groups into mapping class groups of surfaces},
  author = {Takuya Katayama and Erika Kuno},
  journal= {arXiv preprint arXiv:2203.14587},
  year   = {2022}
}

Comments

30 pages, 5 figures

R2 v1 2026-06-24T10:28:03.122Z