Proves algebraic integrality and local constancy of coefficients in twisted Alexander polynomials for torus knots under irreducible SL_n(C) representations, plus integrality of Reidemeister torsions for many Seifert fibered spaces.
Lin,Representations of knot groups and twisted Alexander polynomials, Acta Math
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Derives a mod p formula for twisted Alexander polynomials tied to regular representations of finite groups and applies similar formulas to central extensions to study vanishing groups for non-fibered knots.
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Algebraic properties of twisted Alexander polynomial and Reidemeister torsion of torus knots
Proves algebraic integrality and local constancy of coefficients in twisted Alexander polynomials for torus knots under irreducible SL_n(C) representations, plus integrality of Reidemeister torsions for many Seifert fibered spaces.
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Twisted Alexander polynomials of a knot for group extensions
Derives a mod p formula for twisted Alexander polynomials tied to regular representations of finite groups and applies similar formulas to central extensions to study vanishing groups for non-fibered knots.