1 Excerpt

- Published 2008

Let M be a closed oriented surface of genus g ≥ 1, let Bn(M) be the braid group of M on n strings, and let SBn(M) be the corresponding singular braid monoid. Our purpose in this paper is to prove that the desingularization map η : SBn(M) → Z[Bn(M)], introduced in the definition of the Vassiliev invariants (for braids on surfaces), is injective. AMS Subject Classification: Primary 20F36; Secondary 57M27.

@inproceedings{Paris2008BirmansCF,
title={Birman’s conjecture for singular braids on closed surfaces},
author={Luis Paris},
year={2008}
}