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Autore principale: Higgins, Jonathan A.
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2603.01303
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author Higgins, Jonathan A.
author_facet Higgins, Jonathan A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01303
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Geometric Approach to the Links-Quivers Correspondence I: Rational Tangles
Higgins, Jonathan A.
Geometric Topology
Quantum Algebra
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.
title A Geometric Approach to the Links-Quivers Correspondence I: Rational Tangles
topic Geometric Topology
Quantum Algebra
url https://arxiv.org/abs/2603.01303