A prime decomposition theorem for the 2-string link monoid
Geometric Topology
2017-11-16 v2
Abstract
In this paper we use 3-manifold techniques to illuminate the structure of the string link monoid. In particular, we give a prime decomposition theorem for string links on two components as well as give necessary conditions for string links to commute under the stacking operation.
Keywords
Cite
@article{arxiv.1308.1594,
title = {A prime decomposition theorem for the 2-string link monoid},
author = {Ryan Blair and John Burke and Robin Koytcheff},
journal= {arXiv preprint arXiv:1308.1594},
year = {2017}
}
Comments
Various additions and modifications, mostly suggested by the referee. Now 27 pages, 11 figures. To appear in J. Knot Theory Ramif