A Geometric Approach to the Links-Quivers Correspondence II: Rational Links
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 1 March 2026
- Language
- EN
- Document type
- Preprint