Tautological classes and symmetry in Khovanov-Rozansky homology
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866913214049026048 |
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| author | Gorsky, Eugene Hogancamp, Matthew Mellit, Anton |
| author_facet | Gorsky, Eugene Hogancamp, Matthew Mellit, Anton |
| contents | We define a new family of commuting operators $F_k$ in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that $F_2$ satisfies ``hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_01212 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Tautological classes and symmetry in Khovanov-Rozansky homology Gorsky, Eugene Hogancamp, Matthew Mellit, Anton Representation Theory Geometric Topology Quantum Algebra We define a new family of commuting operators $F_k$ in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that $F_2$ satisfies ``hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen. |
| title | Tautological classes and symmetry in Khovanov-Rozansky homology |
| topic | Representation Theory Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2103.01212 |