arXiv Open Access 2026

On mutation invariance in Khovanov homology

Artem Kotelskiy Liam Watson Claudius Zibrowius

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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.

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Penulis (3)

Artem Kotelskiy

Liam Watson

Claudius Zibrowius

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Kotelskiy, A., Watson, L., Zibrowius, C. (2026). On mutation invariance in Khovanov homology. https://arxiv.org/abs/2602.23442

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Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓