Numerical semigroups, Dedekind sums and Alexander polynomials of torus knots

2021/12/28 by Ilyuta, Gennadiy
#11F20 #20M13 #57K14 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2112.14098

Abstract

We connect Dedekind sums and Alexander polynomials of torus knots.

Related

• Topological Representations of Free Numerical Semigroups via Iterated Torus Knots
• Alexander polynomials of doubly primitive knots
• Explicit Formulas for the Alexander Polynomial of Pretzel Knots
• Compositions of Knots Using Alexander Polynomial
• Alexander-Lin twisted polynomials