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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.08146 |
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| _version_ | 1866913607544995840 |
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| author | Kubota, Hajime |
| author_facet | Kubota, Hajime |
| contents | The Upsilon invariant is a concordance invariant in knot Floer homology. Földvári reconstructed the Upsilon invariant using grid homology. We prove that the Upsilon invariant in knot Floer homology and one in grid homology are equivalent. Furthermore, we show some properties of the Upsilon invariant in the framework of grid homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08146 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Upsilon invariant in grid homology Kubota, Hajime Geometric Topology 57K18 The Upsilon invariant is a concordance invariant in knot Floer homology. Földvári reconstructed the Upsilon invariant using grid homology. We prove that the Upsilon invariant in knot Floer homology and one in grid homology are equivalent. Furthermore, we show some properties of the Upsilon invariant in the framework of grid homology. |
| title | On the Upsilon invariant in grid homology |
| topic | Geometric Topology 57K18 |
| url | https://arxiv.org/abs/2412.08146 |