English

A simple presentation of the handlebody group of genus 2

Geometric Topology 2008-11-27 v1

Abstract

Using a similar algorithm to Hatcher-Thurston's algorithm for finding a presentation of the mapping class group of a surface, Wajnryb succeeded to find a presentation for the handlebody group. This is long and complicated. In this note I simplify Wajnryb's presentation for the handlebody group of genus g = 2.

Keywords

Cite

@article{arxiv.0811.4365,
  title  = {A simple presentation of the handlebody group of genus 2},
  author = {Clement Radu Popescu},
  journal= {arXiv preprint arXiv:0811.4365},
  year   = {2008}
}

Comments

8 pages, 2 figures