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Vassiliev Invariants for Torus Knots

1995/06/09 by M. Alvarez, Mercedes Álvarez, Alvarez, M. +3
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9506009

33 pages, macropackages phyzzx and epsf used, 2 figures

arxiv created 1995/06/09 · arxiv updated 2009/11/30

Abstract

Vassiliev invariants up to order six for arbitrary torus knots \ n , m \, with n and m coprime integers, are computed. These invariants are polynomials in n and m whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors.

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