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Article Dans Une Revue Atti del Seminario matematico e fisico dell'Università di Modena e Reggio Emilia. Année : 2011

On Vassiliev invariants of braid groups of the sphere

Nizar Kaabi
  • Fonction : Auteur
Vladimir Vershinin
  • Fonction : Auteur
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Résumé

We construct a universal Vassiliev invariant for braid groups of the sphere and the mapping class groups of the sphere with $n$ punctures. The case of a sphere is different from the classical braid groups or braids of oriented surfaces of genus strictly greater than zero, since Vassiliev invariants in a group without 2-torsion do not distinguish elements of braid group of a sphere.

Dates et versions

hal-00803367 , version 1 (21-03-2013)

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Nizar Kaabi, Vladimir Vershinin. On Vassiliev invariants of braid groups of the sphere. Atti del Seminario matematico e fisico dell'Università di Modena e Reggio Emilia., 2011, 58, pp.213-232. ⟨hal-00803367⟩
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