Birman's conjecture for singular braids on closed surfaces
Paris, Luis
HAL, hal-00128178 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-00128178,
     author = {Paris, Luis},
     title = {Birman's conjecture for singular braids on closed surfaces},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00128178}
}

Paris, Luis. Birman's conjecture for singular braids on closed surfaces. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00128178/