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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2509.22133 |
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| _version_ | 1866912608241582080 |
|---|---|
| author | Li, Cailan |
| author_facet | Li, Cailan |
| contents | We prove the action of the full twist is a Serre functor in the homotopy category of dihedral Soergel Bimodules. Our proof relies on the representability of a certain partial trace functor, which we prove using the diagrammatics for Hochschild cohomology of Soergel Bimodules. Leveraging these representability results, we then compute the triply-graded link homology of the Whitehead link. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Serre Duality and the Whitehead Link Li, Cailan Representation Theory Geometric Topology Quantum Algebra We prove the action of the full twist is a Serre functor in the homotopy category of dihedral Soergel Bimodules. Our proof relies on the representability of a certain partial trace functor, which we prove using the diagrammatics for Hochschild cohomology of Soergel Bimodules. Leveraging these representability results, we then compute the triply-graded link homology of the Whitehead link. |
| title | Serre Duality and the Whitehead Link |
| topic | Representation Theory Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2509.22133 |