Khovanov concordance minima and the (4,5) torus knot
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908832228179968 |
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| author | Lobb, Andrew |
| author_facet | Lobb, Andrew |
| contents | Ribbon concordance gives a partial order on knot types, and applying a knot homology functor to a ribbon concordance gives an inclusion of the homologies. The question of the existence of global ribbon minima in each concordance class is a generalization of the slice-ribbon conjecture, which asserts that the unknot is the global minimum in its class. We show that the (reduced rational) Khovanov homology of the (4,5) torus knot is a summand in the Khovanov homology of any knot in its concordance class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Khovanov concordance minima and the (4,5) torus knot Lobb, Andrew Geometric Topology Ribbon concordance gives a partial order on knot types, and applying a knot homology functor to a ribbon concordance gives an inclusion of the homologies. The question of the existence of global ribbon minima in each concordance class is a generalization of the slice-ribbon conjecture, which asserts that the unknot is the global minimum in its class. We show that the (reduced rational) Khovanov homology of the (4,5) torus knot is a summand in the Khovanov homology of any knot in its concordance class. |
| title | Khovanov concordance minima and the (4,5) torus knot |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.12692 |