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On the Links-Gould invariant and the square of the Alexander polynomial

2015/06/19 by Ben-Michael Kohli, Kohli, Ben-Michael · 3 citations
Mathematics · #Geometric and Algebraic Topology #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics

paper · doi:10.48550/arxiv.1506.05912

Abstract

This paper gives a connection between well chosen reductions of the Links-Gould invariants of oriented links and powers of the Alexander-Conway polynomial. We prove these formulas by showing the representations of the braid groups we derive the specialized Links-Gould polynomials from can be seen as exterior powers of copies of Burau representations.

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