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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2410.00399 |
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| _version_ | 1866917414507118592 |
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| author | Schwartz, Amanda |
| author_facet | Schwartz, Amanda |
| contents | We define the HOMFLY polynomial of a forest quiver $Q$ using a recursive definition on the underlying graph of the quiver. We then show that this polynomial is equal to the HOMFLY polynomial of any plabic link which comes from a connected plabic graph whose quiver is $Q$. We also prove a closed-form expression for the HOMFLY polynomial of a forest quiver $Q$ in terms of the independent sets of $Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The HOMFLY Polynomial of a Forest Quiver Schwartz, Amanda Combinatorics Geometric Topology We define the HOMFLY polynomial of a forest quiver $Q$ using a recursive definition on the underlying graph of the quiver. We then show that this polynomial is equal to the HOMFLY polynomial of any plabic link which comes from a connected plabic graph whose quiver is $Q$. We also prove a closed-form expression for the HOMFLY polynomial of a forest quiver $Q$ in terms of the independent sets of $Q$. |
| title | The HOMFLY Polynomial of a Forest Quiver |
| topic | Combinatorics Geometric Topology |
| url | https://arxiv.org/abs/2410.00399 |