The Word Problem for the Singular Braid Monoid
Geometric Topology
2007-05-23 v1 Group Theory
Abstract
We give a solution to the word problem for the singular braid monoid SB_n. The complexity of the algorithm is quadratic in the product of the word length and the number of the singular generators in the word. Furthermore we algebraically reprove a result of Fenn, Keyman and Rourke that the monoid embeds into a group and we compute the cohomological dimension of this group.
Keywords
Cite
@article{arxiv.math/9809070,
title = {The Word Problem for the Singular Braid Monoid},
author = {Oliver T. Dasbach and Bernd Gemein},
journal= {arXiv preprint arXiv:math/9809070},
year = {2007}
}
Comments
18 pages, 4 figures