On Cohen braids - HAL Accéder directement au contenu
Article dans une revue Proceedings of the Steklov Institute of Mathematics Année : 2014

On Cohen braids

Résumé

For a general connected surface M and an arbitrary braid α from the surface braid group B n−1(M), we study the system of equations d 1 β = … = d n β = α, where the operation d i is the removal of the ith strand. We prove that for M ≠ S 2 and M ≠ ℝP2, this system of equations has a solution β ∈ B n (M) if and only if d 1 α = … = d n−1 α. We call the set of braids satisfying the last system of equations Cohen braids. We study Cohen braids and prove that they form a subgroup. We also construct a set of generators for the group of Cohen braids. In the cases of the sphere and the projective plane we give some examples for a small number of strands.
Loading...
Fichier non déposé

Dates et versions

hal-02086394, version 1 (01-04-2019)

Identifiants

Citer

V. Bardakov, Vladimir Vershinin, J. Wu. On Cohen braids. Proceedings of the Steklov Institute of Mathematics, 2014, 286 (1), pp.16-32. ⟨10.1134/S0081543814060029⟩. ⟨hal-02086394⟩
17 Consultations
0 Téléchargements
Dernière date de mise à jour le 25/06/2024
comment ces indicateurs sont-ils produits

Altmetric

Partager

Gmail Facebook Twitter LinkedIn Plus