Birman's conjecture for singular braids on closed surfaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Knot Theory and its Ramification Année : 2004

Birman's conjecture for singular braids on closed surfaces

Résumé

Let $M$ be a closed oriented surface of genus $g\ge 1$, let $B_n(M)$ be the braid group of $M$ on $n$ strings, and let $SB_n(M)$ be the corresponding singular braid monoid. Our purpose in this paper is to prove that the desingularization map $\eta: SB_n(M) \to \Z [B_n(M)]$, introduced in the definition of the Vassiliev invariants (for braids on surfaces), is injective.

Dates et versions

hal-00128178 , version 1 (31-01-2007)

Identifiants

Citer

Luis Paris. Birman's conjecture for singular braids on closed surfaces. Journal of Knot Theory and its Ramification, 2004, 13, pp.895-915. ⟨hal-00128178⟩
27 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More