Localization and the Floer homology of strongly invertible knots
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913480298201088 |
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| author | Parikh, Aakash |
| author_facet | Parikh, Aakash |
| contents | We establish two spectral sequences in knot Floer homology associated to a directed strongly invertible knot K: one from the knot Floer homology of K to a two dimensional vector space, and one from the singular knot Floer homology of a singular knot associated to K to the knot Floer homology quotient knot of K. The first of these spectral sequences is used to define a numerical invariant of strongly invertible knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localization and the Floer homology of strongly invertible knots Parikh, Aakash Geometric Topology 57K18, 53D40 We establish two spectral sequences in knot Floer homology associated to a directed strongly invertible knot K: one from the knot Floer homology of K to a two dimensional vector space, and one from the singular knot Floer homology of a singular knot associated to K to the knot Floer homology quotient knot of K. The first of these spectral sequences is used to define a numerical invariant of strongly invertible knots. |
| title | Localization and the Floer homology of strongly invertible knots |
| topic | Geometric Topology 57K18, 53D40 |
| url | https://arxiv.org/abs/2408.13892 |