Vassiliev invariants for braids on surfaces

2000/06/02 by Juan Gonzalez-Meneses, Luis Paris, Gonzalez-Meneses, Juan +1
Mathematics · #20F36 (Primary) 57M27 #57N05 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20F36 #msc:57M27 #msc:57N05

paper · pdf · doi:10.48550/arxiv.math/0006014

22 pages, 9 figures

arxiv created 2000/06/09 · arxiv updated 2009/11/30

Abstract

We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of the considered surface.

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