Numerical semigroups, Dedekind sums and Alexander polynomials of torus knots
Gennadiy Ilyuta
TL;DR
This paper explores the relationship between Dedekind sums and Alexander polynomials of torus knots, revealing new connections in knot theory and number theory.
Contribution
It introduces a novel link between Dedekind sums and Alexander polynomials specific to torus knots, expanding understanding in both areas.
Findings
Established a mathematical connection between Dedekind sums and Alexander polynomials.
Provided formulas relating Dedekind sums to knot invariants.
Enhanced the theoretical framework for analyzing torus knots.
Abstract
We connect Dedekind sums and Alexander polynomials of torus knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology