New Polynomial Decategorifications of the Quandle Coloring Quiver
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911105761148928 |
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| author | Kabra, Anusha Nelson, Sam |
| author_facet | Kabra, Anusha Nelson, Sam |
| contents | We introduce two new families of polynomial invariants of oriented classical and virtual knots and links defined as decategorfications of the quandle coloring quiver. We provide examples to illustrate the computation of the invariants, show that they are not determined by the quandle counting invariant, and compute tables of invariants values for some small quandles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Polynomial Decategorifications of the Quandle Coloring Quiver Kabra, Anusha Nelson, Sam Geometric Topology Quantum Algebra 57K12 We introduce two new families of polynomial invariants of oriented classical and virtual knots and links defined as decategorfications of the quandle coloring quiver. We provide examples to illustrate the computation of the invariants, show that they are not determined by the quandle counting invariant, and compute tables of invariants values for some small quandles. |
| title | New Polynomial Decategorifications of the Quandle Coloring Quiver |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2504.14387 |