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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 1 | Source: arXiv Dataset IDs (Model)

Vassiliev and Quantum Invariants of Braids

Authors	Dror Bar-Natan
Categories	q-alg math.QA
ArXiv ID	q-alg/9607001
URL	https://arxiv.org/abs/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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    "abstract": "We prove that braid invariants coming from quantum gl(N) separate braids, by\nrecalling that these invariants (properly decomposed) are all Vassiliev\ninvariants, showing that all Vassiliev invariants of braids arise in this way,\nand reproving that Vassiliev invariants separate braids. We discuss some\ncorollaries of this result and of our method of proof.",
    "arxiv_id": "q-alg/9607001",
    "authors": [
      "Dror Bar-Natan"
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    "title": "Vassiliev and Quantum Invariants of Braids",
    "url": "https://arxiv.org/abs/q-alg/9607001"
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