A simple presentation of the handlebody group of genus 2

Details A simple presentation of the handlebody group of genus 2 A simple presentation of the handlebody group of genus 2

2008-11-26

arxiv.org/abs/0811.4365v1

Mathematics

Geometric Topology

8 pages, 2 figures

Scientific paper

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.

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