The equivalence of lattice and Heegaard Floer homology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866929424979460096 |
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| author | Zemke, Ian |
| author_facet | Zemke, Ian |
| contents | We prove Némethi's conjecture: if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over $S^2$, then the lattice homology of $Y$ coincides with the Heegaard Floer homology of $Y$. We also give a conjectural description of the $H_1(Y)/\mathrm{Tors}$ action when $b_1(Y)>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_14962 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The equivalence of lattice and Heegaard Floer homology Zemke, Ian Geometric Topology 57K18, 57K31 We prove Némethi's conjecture: if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over $S^2$, then the lattice homology of $Y$ coincides with the Heegaard Floer homology of $Y$. We also give a conjectural description of the $H_1(Y)/\mathrm{Tors}$ action when $b_1(Y)>0$. |
| title | The equivalence of lattice and Heegaard Floer homology |
| topic | Geometric Topology 57K18, 57K31 |
| url | https://arxiv.org/abs/2111.14962 |