Sutured Heegaard Floer and embedded contact homologies are isomorphic
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911812089282560 |
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| author | Colin, Vincent Ghiggini, Paolo Honda, Ko |
| author_facet | Colin, Vincent Ghiggini, Paolo Honda, Ko |
| contents | We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions of Heegaard Floer homology and embedded contact homology are equivalent and that product sutured 3-manifolds are characterized by the fact that they carry an adapted Reeb vector field without periodic orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sutured Heegaard Floer and embedded contact homologies are isomorphic Colin, Vincent Ghiggini, Paolo Honda, Ko Symplectic Geometry 57K33, 57K18, 53D10 We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions of Heegaard Floer homology and embedded contact homology are equivalent and that product sutured 3-manifolds are characterized by the fact that they carry an adapted Reeb vector field without periodic orbits. |
| title | Sutured Heegaard Floer and embedded contact homologies are isomorphic |
| topic | Symplectic Geometry 57K33, 57K18, 53D10 |
| url | https://arxiv.org/abs/2403.16492 |