English

Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface

Geometric Topology 2013-11-15 v1

Abstract

S. Gervais gave a finite presentation for the mapping class group of a surface (math.GT/9811162). We show this presentation without using Wajnryb's simple presentation. We use a complex of curves defined by Harvey, in place of Hatcher and Thurston's complex.

Keywords

Cite

@article{arxiv.math/0008185,
  title  = {Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface},
  author = {Susumu Hirose},
  journal= {arXiv preprint arXiv:math/0008185},
  year   = {2013}
}

Comments

29 pages, 4 figures