Eigenvalue conjecture and colored Alexander polynomials

Abstract We connect two important conjectures in the theory of knot polynomials. The first one is the property $$Al_R(q) = Al_{[1]}(q^{|R|})$$ AlR(q)=Al[1](q|R|) for all single hook Young diagrams R, which is known to hold for all knots. The second conjecture claims that all the mixing matrices $$U_...

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Bibliographic Details
Main Authors: A. Mironov, A. Morozov
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5765-5