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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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