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Vassiliev invariants for braids on surfaces |
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| Authors: | Juan Gonzá lez-Meneses Luis Paris |
| Affiliation: | Departamento de Álgebra, Facultad de Matemáticas, Universidad de Sevilla, c/ Tarfia s/n, 41012 Sevilla, Spain ; Université de Bourgogne, Laboratoire de Topologie, UMR 5584 du CNRS, B.P. 47870, 21078 - Dijon Cedex, France |
| Abstract: | We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit a universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of the surface. |
| Keywords: | Braid surface Vassiliev invariant finite type invariant |
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