Ribbon Homology Cobordisms and Link Floer Homology
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913768813887488 |
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| author | Guth, Gary |
| author_facet | Guth, Gary |
| contents | We make use of link Floer homology to study cobordisms between links embedded in 4-dimensional ribbon homology cobordisms. Combining results of Daemi--Lidman--Vela-Vick--Wong and Zemke, we show that ribbon homology concordances induce split injections on $\mathcal{HFL}^-$. We also make use of the torsion submodule of $\text{HFL}^-$ to give restrictions on the number of critical points in ribbon homology concordances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_09925 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Ribbon Homology Cobordisms and Link Floer Homology Guth, Gary Geometric Topology We make use of link Floer homology to study cobordisms between links embedded in 4-dimensional ribbon homology cobordisms. Combining results of Daemi--Lidman--Vela-Vick--Wong and Zemke, we show that ribbon homology concordances induce split injections on $\mathcal{HFL}^-$. We also make use of the torsion submodule of $\text{HFL}^-$ to give restrictions on the number of critical points in ribbon homology concordances. |
| title | Ribbon Homology Cobordisms and Link Floer Homology |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2111.09925 |