On mutation invariance in Khovanov homology
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915821095223296 |
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| author | Kotelskiy, Artem Watson, Liam Zibrowius, Claudius |
| author_facet | Kotelskiy, Artem Watson, Liam Zibrowius, Claudius |
| contents | We show that reduced Khovanov homology over any field is invariant under component-preserving Conway mutation. Our proof relies on strong geography restrictions for a certain Khovanov multicurve invariant associated with Conway tangles that we introduced in previous work [arXiv:1910.14584]. Applying ideas from homological mirror symmetry, we give a full classification of the components of this invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On mutation invariance in Khovanov homology Kotelskiy, Artem Watson, Liam Zibrowius, Claudius Geometric Topology Quantum Algebra Representation Theory Symplectic Geometry 57K10, 57K18 We show that reduced Khovanov homology over any field is invariant under component-preserving Conway mutation. Our proof relies on strong geography restrictions for a certain Khovanov multicurve invariant associated with Conway tangles that we introduced in previous work [arXiv:1910.14584]. Applying ideas from homological mirror symmetry, we give a full classification of the components of this invariant. |
| title | On mutation invariance in Khovanov homology |
| topic | Geometric Topology Quantum Algebra Representation Theory Symplectic Geometry 57K10, 57K18 |
| url | https://arxiv.org/abs/2602.23442 |