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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.01312 |
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| _version_ | 1866911476510359552 |
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| author | Higgins, Jonathan A. |
| author_facet | Higgins, Jonathan A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01312 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Geometric Approach to the Links-Quivers Correspondence II: Rational Links Higgins, Jonathan A. Geometric Topology Quantum Algebra 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. |
| title | A Geometric Approach to the Links-Quivers Correspondence II: Rational Links |
| topic | Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2603.01312 |