A presentation for Hilden's subgroup of the braid group
Group Theory
2009-02-27 v2
Abstract
Consider the unit ball, B = D x [0,1], containing n unknotted arcs a_1, ... a_n such that the boundary of each a_i lies in D x {0}. We give a finite presentation for the mapping class group of B fixing the arcs {a_1, ..., a_n} setwise and fixing D x {1} pointwise. This presentation is calculated using the action of this group on a simply-connected complex.
Keywords
Cite
@article{arxiv.0706.4421,
title = {A presentation for Hilden's subgroup of the braid group},
author = {Stephen Tawn},
journal= {arXiv preprint arXiv:0706.4421},
year = {2009}
}
Comments
minor changes, 17 pages