Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae)
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911398916784128 |
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| author | Koshevoy, Gleb Schechtman, Vadim Varchenko, Alexander |
| author_facet | Koshevoy, Gleb Schechtman, Vadim Varchenko, Alexander |
| contents | The aim of this note is:
(a) to propose a generalization of tetrahedron equations from \cite{S} and of their solutions. Due to appearance of a larger number of parameters the $R$-matrices from \cite{S} will be replaced by "$R$-correspondences".
(b) To rephrase these equations in terms of Wronskian evolutions in the spirit of \cite{SV}.
(c) To discuss some elementary structures of cohomological flavour lying behind our considerations. We call them "quaternities", or "bibitorsors"; they might be not without an independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18039 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae) Koshevoy, Gleb Schechtman, Vadim Varchenko, Alexander Rings and Algebras Mathematical Physics The aim of this note is: (a) to propose a generalization of tetrahedron equations from \cite{S} and of their solutions. Due to appearance of a larger number of parameters the $R$-matrices from \cite{S} will be replaced by "$R$-correspondences". (b) To rephrase these equations in terms of Wronskian evolutions in the spirit of \cite{SV}. (c) To discuss some elementary structures of cohomological flavour lying behind our considerations. We call them "quaternities", or "bibitorsors"; they might be not without an independent interest. |
| title | Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae) |
| topic | Rings and Algebras Mathematical Physics |
| url | https://arxiv.org/abs/2601.18039 |