Heegaard Floer homology and plane curves with non-cuspidal singularities
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866917881549160448 |
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| author | Borodzik, Maciej Liu, Beibei Zemke, Ian |
| author_facet | Borodzik, Maciej Liu, Beibei Zemke, Ian |
| contents | We study possible configurations of singular points occuring on general algebraic curves in $\mathbb{C}P^2$ via Floer theory. To achieve this, we describe a general formula for the $H_{1}$-action on the knot Floer complex of the knotification of a link in $S^3$, in terms of natural actions on the link Floer complex of the original link. This result may be interest on its own. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_13709 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Heegaard Floer homology and plane curves with non-cuspidal singularities Borodzik, Maciej Liu, Beibei Zemke, Ian Geometric Topology Algebraic Geometry primary: 14H50, secondary: 57K18, 14B05, 57R58 We study possible configurations of singular points occuring on general algebraic curves in $\mathbb{C}P^2$ via Floer theory. To achieve this, we describe a general formula for the $H_{1}$-action on the knot Floer complex of the knotification of a link in $S^3$, in terms of natural actions on the link Floer complex of the original link. This result may be interest on its own. |
| title | Heegaard Floer homology and plane curves with non-cuspidal singularities |
| topic | Geometric Topology Algebraic Geometry primary: 14H50, secondary: 57K18, 14B05, 57R58 |
| url | https://arxiv.org/abs/2104.13709 |