Vassiliev invariants for braids on surfaces

González-Meneses, Juan; Paris, Luis

doi:10.1090/S0002-9947-03-03116-7

Vassiliev invariants for braids on surfaces

Authors: Juan González-Meneses and Luis Paris
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
Published electronically: August 25, 2003
MathSciNet review: 2020030
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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.

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