A Geometric Approach to the Links-Quivers Correspondence II: Rational Links

Jonathan A. Higgins

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arXiv · 2603.01312

A Geometric Approach to the Links-Quivers Correspondence II: Rational Links

Jonathan A. Higgins

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Abstract

The Links-Quivers Correspondence predicts that the generating function for the symmetric (or antisymmetric) colored HOMFLY-PT polynomials for links can be put in a "quiver form," so that the generating function is expressed in terms of a quadratic form and two linear forms. This was originally proved for rational links by Stosic and Wedrich, but here we give a direct geometric description of the linear and quadratic forms in terms of the first and second configuration spaces of the 3-punctured plane.

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Jonathan A. Higgins. 2026-03-01. A Geometric Approach to the Links-Quivers Correspondence II: Rational Links. https://arxiv.org/abs/2603.01312

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