A prime decomposition theorem for the 2-string link monoid
arXiv:1308.1594
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.
Various additions and modifications, mostly suggested by the referee. Now 27 pages, 11 figures. To appear in J. Knot Theory Ramif