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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.03324 |
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| _version_ | 1866914676934180864 |
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| author | Kubota, Hajime |
| author_facet | Kubota, Hajime |
| contents | In this paper, we research the grid homology for spatial graphs with cut edges. We show that the grid homology for spatial graph $f$ is trivial if $f$ has sinks, sources, or cut edges. As an application, we give purely combinatorial proofs of some formulas including a Künneth formula for the knot Floer homology of connected sums in the framework of the grid homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03324 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Grid homology for spatial graphs and a Künneth formula of connected sum Kubota, Hajime Geometric Topology Algebraic Topology 57K18 In this paper, we research the grid homology for spatial graphs with cut edges. We show that the grid homology for spatial graph $f$ is trivial if $f$ has sinks, sources, or cut edges. As an application, we give purely combinatorial proofs of some formulas including a Künneth formula for the knot Floer homology of connected sums in the framework of the grid homology. |
| title | Grid homology for spatial graphs and a Künneth formula of connected sum |
| topic | Geometric Topology Algebraic Topology 57K18 |
| url | https://arxiv.org/abs/2308.03324 |