Khovanov complexes for bipartite links
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914599365771264 |
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| author | Anokhina, A. Lanina, E. Morozov, A. |
| author_facet | Anokhina, A. Lanina, E. Morozov, A. |
| contents | Recently, for a limited class for bipartite links, the complicated Khovanov-Rozansky matrix factorization technique was reduced to an analogue of elementary Kauffman-Khovanov cycle calculus for an arbitrary $N$. In this note, we demonstrate the consistency of such reduction with the computation of the bipartite Khovanov polynomials for $N=2$. Namely, we explain how the Kauffman-Khovanov $2^2$-hypercube is shrinked to the bipartite 3-hypercube. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25650 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Khovanov complexes for bipartite links Anokhina, A. Lanina, E. Morozov, A. High Energy Physics - Theory Mathematical Physics Geometric Topology Recently, for a limited class for bipartite links, the complicated Khovanov-Rozansky matrix factorization technique was reduced to an analogue of elementary Kauffman-Khovanov cycle calculus for an arbitrary $N$. In this note, we demonstrate the consistency of such reduction with the computation of the bipartite Khovanov polynomials for $N=2$. Namely, we explain how the Kauffman-Khovanov $2^2$-hypercube is shrinked to the bipartite 3-hypercube. |
| title | Khovanov complexes for bipartite links |
| topic | High Energy Physics - Theory Mathematical Physics Geometric Topology |
| url | https://arxiv.org/abs/2605.25650 |