Khovanov homology of strongly invertible knots and their quotients
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866908432438657024 |
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| author | Lipshitz, Robert Sarkar, Sucharit |
| author_facet | Lipshitz, Robert Sarkar, Sucharit |
| contents | We construct a spectral sequence relating the Khovanov homology of a strongly invertible knot to the annular Khovanov homologies of the two natural quotient knots. Using this spectral sequence, we re-prove that Khovanov homology distinguishes certain slice disks. We also give an analogous spectral sequence for the Heegaard Floer homology of the branched double cover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_13895 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Khovanov homology of strongly invertible knots and their quotients Lipshitz, Robert Sarkar, Sucharit Geometric Topology Quantum Algebra We construct a spectral sequence relating the Khovanov homology of a strongly invertible knot to the annular Khovanov homologies of the two natural quotient knots. Using this spectral sequence, we re-prove that Khovanov homology distinguishes certain slice disks. We also give an analogous spectral sequence for the Heegaard Floer homology of the branched double cover. |
| title | Khovanov homology of strongly invertible knots and their quotients |
| topic | Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2203.13895 |