Vassiliev and Quantum Invariants of Braids

1996/07/01 by Dror Bar-Natan, Bar-Natan, Dror · 3 citations
Mathematics · #Geometric and Algebraic Topology #Algebraic structures and combinatorial models #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.q-alg/9607001

Abstract

We prove that braid invariants coming from quantum gl(N) separate braids, by recalling that these invariants (properly decomposed) are all Vassiliev invariants, showing that all Vassiliev invariants of braids arise in this way, and reproving that Vassiliev invariants separate braids. We discuss some corollaries of this result and of our method of proof.

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