Khovanov homology and refined bounds for Gordian distances
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916386397224960 |
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| author | Lewark, Lukas Marino, Laura Zibrowius, Claudius |
| author_facet | Lewark, Lukas Marino, Laura Zibrowius, Claudius |
| contents | From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invariants and from torsion invariants. We also improve the bounds for the proper rational Gordian distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Khovanov homology and refined bounds for Gordian distances Lewark, Lukas Marino, Laura Zibrowius, Claudius Geometric Topology Quantum Algebra 57K10, 57K18 From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invariants and from torsion invariants. We also improve the bounds for the proper rational Gordian distance. |
| title | Khovanov homology and refined bounds for Gordian distances |
| topic | Geometric Topology Quantum Algebra 57K10, 57K18 |
| url | https://arxiv.org/abs/2409.05743 |