Rank inequalities for the Heegaard Floer homology of branched covers
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908432376791040 |
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| author | Hendricks, Kristen Lidman, Tye Lipshitz, Robert |
| author_facet | Hendricks, Kristen Lidman, Tye Lipshitz, Robert |
| contents | Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_03023 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Rank inequalities for the Heegaard Floer homology of branched covers Hendricks, Kristen Lidman, Tye Lipshitz, Robert Geometric Topology Symplectic Geometry Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology. |
| title | Rank inequalities for the Heegaard Floer homology of branched covers |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2007.03023 |