Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915967697682432 |
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| author | Buchstaber, Victor Kornev, Mikhail Rubtsov, Vladimir |
| author_facet | Buchstaber, Victor Kornev, Mikhail Rubtsov, Vladimir |
| contents | We show that the associativity condition of the universal symmetric 2-algebraic 2-valued group defined by the Buchstaber polynomial admits several mutually equivalent interpretations from the viewpoints of the Chazy equation, Gauss-Manin connections, Dubrovin-Frobenius structures, and the quantum Yang-Baxter equation. These results place the universal 2-valued law in a unified framework linking geometry, algebraic topology, group theory, and mathematical physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26641 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE Buchstaber, Victor Kornev, Mikhail Rubtsov, Vladimir Algebraic Geometry Mathematical Physics Group Theory We show that the associativity condition of the universal symmetric 2-algebraic 2-valued group defined by the Buchstaber polynomial admits several mutually equivalent interpretations from the viewpoints of the Chazy equation, Gauss-Manin connections, Dubrovin-Frobenius structures, and the quantum Yang-Baxter equation. These results place the universal 2-valued law in a unified framework linking geometry, algebraic topology, group theory, and mathematical physics. |
| title | Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE |
| topic | Algebraic Geometry Mathematical Physics Group Theory |
| url | https://arxiv.org/abs/2604.26641 |