English

Handlebody subgroups in a mapping class group

Geometric Topology 2016-03-30 v2 Group Theory

Abstract

Suppose subgroups A,B<MCG(S)A,B < MCG(S) in the mapping class group of a closed orientable surface SS are given and let A,B\langle A, B \rangle be the subgroup they generate. We discuss a question by Minsky asking when A,BAABB\langle A, B \rangle \simeq A*_{A \cap B} B for handlebody subgroups A,BA,B.

Keywords

Cite

@article{arxiv.1412.7847,
  title  = {Handlebody subgroups in a mapping class group},
  author = {Mladen Bestvina and Koji Fujiwara},
  journal= {arXiv preprint arXiv:1412.7847},
  year   = {2016}
}
R2 v1 2026-06-22T07:43:54.754Z