A Geometric Approach to the Links-Quivers Correspondence II: Rational Links
Geometric Topology
2026-03-03 v1 Quantum Algebra
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.
Cite
@article{arxiv.2603.01312,
title = {A Geometric Approach to the Links-Quivers Correspondence II: Rational Links},
author = {Jonathan A. Higgins},
journal= {arXiv preprint arXiv:2603.01312},
year = {2026}
}
Comments
74 pages, many figures