Vassiliev invariants for braids on surfaces
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- by Juan González-Meneses and Luis Paris PDF
- Trans. Amer. Math. Soc. 356 (2004), 219-243 Request permission
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.References
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Additional Information
- Juan González-Meneses
- Affiliation: Departamento de Álgebra, Facultad de Matemáticas, Universidad de Sevilla, c/ Tarfia s/n, 41012 Sevilla, Spain
- Email: meneses@us.es
- Luis Paris
- Affiliation: Université de Bourgogne, Laboratoire de Topologie, UMR 5584 du CNRS, B.P. 47870, 21078 - Dijon Cedex, France
- Email: lparis@u-bourgogne.fr
- Received by editor(s): November 7, 2000
- Received by editor(s) in revised form: May 20, 2002
- Published electronically: August 25, 2003
- Additional Notes: The first author was supported in part by DGESIC-PB97-0723, by BFM2001-3207 and by the European network TMR Sing. Eq. Diff. et Feuill
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 219-243
- MSC (2000): Primary 20F36; Secondary 57M27, 57N05
- DOI: https://doi.org/10.1090/S0002-9947-03-03116-7
- MathSciNet review: 2020030