Symplectic annular Khovanov homology and fixed point localizations
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866918297245581312 |
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| author | Hendricks, Kristen Mak, Cheuk Yu Raghunath, Sriram |
| author_facet | Hendricks, Kristen Mak, Cheuk Yu Raghunath, Sriram |
| contents | We introduce a new version of symplectic annular Khovanov homology and establish spectral sequences from (i) the symplectic annular Khovanov homology of a knot to the link Floer homology of the lift of the annular axis in the double branched cover; (ii) the symplectic Khovanov homology of a two-periodic knot to the symplectic annular Khovanov homology of its quotient; and (iii) the symplectic Khovanov homology of a strongly invertible knot to the cone of the axis-moving map between the symplectic annular Khovanov homology of the two resolutions of its quotient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symplectic annular Khovanov homology and fixed point localizations Hendricks, Kristen Mak, Cheuk Yu Raghunath, Sriram Geometric Topology Symplectic Geometry 57K18, 53D40 We introduce a new version of symplectic annular Khovanov homology and establish spectral sequences from (i) the symplectic annular Khovanov homology of a knot to the link Floer homology of the lift of the annular axis in the double branched cover; (ii) the symplectic Khovanov homology of a two-periodic knot to the symplectic annular Khovanov homology of its quotient; and (iii) the symplectic Khovanov homology of a strongly invertible knot to the cone of the axis-moving map between the symplectic annular Khovanov homology of the two resolutions of its quotient. |
| title | Symplectic annular Khovanov homology and fixed point localizations |
| topic | Geometric Topology Symplectic Geometry 57K18, 53D40 |
| url | https://arxiv.org/abs/2408.06453 |