Concordance invariant $Υ$ for balanced spatial graphs using grid homology
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913380593303552 |
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| author | Kubota, Hajime |
| author_facet | Kubota, Hajime |
| contents | The $Υ$ invariant is a concordance invariant defined by using knot Floer homology. Földvári gives a combinatorial restructure of it using grid homology. We extend the combinatorial $Υ$ invariant for balanced spatial graph using grid homology for balanced spatial graph. Regarding links as spatial graphs, we give a upper and lower bounds for $Υ$ when two links are connected by a cobordism. Also we show that the combinatorial $Υ$ is a concordance invariant for knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_15048 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Concordance invariant $Υ$ for balanced spatial graphs using grid homology Kubota, Hajime Geometric Topology Algebraic Topology The $Υ$ invariant is a concordance invariant defined by using knot Floer homology. Földvári gives a combinatorial restructure of it using grid homology. We extend the combinatorial $Υ$ invariant for balanced spatial graph using grid homology for balanced spatial graph. Regarding links as spatial graphs, we give a upper and lower bounds for $Υ$ when two links are connected by a cobordism. Also we show that the combinatorial $Υ$ is a concordance invariant for knots. |
| title | Concordance invariant $Υ$ for balanced spatial graphs using grid homology |
| topic | Geometric Topology Algebraic Topology |
| url | https://arxiv.org/abs/2206.15048 |