A Geometric Approach to the Links-Quivers Correspondence I: Rational Tangles
arXiv:2603.01303
Abstract
The Links-Quivers Correspondence predicts that all the symmetric (or antisymmetric) colored HOMFLY-PT polynomials of a link can be recovered from a finite amount of data (a quiver) associated to the link. We give a new geometric proof of the Links-Quivers Correspondence modified for rational tangles and explicitly describe the corresponding quivers in terms of winding numbers in the punctured plane and its second configuration space.
arXiv comment58 pages, many figures