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arXiv · 2604.26641

Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE

Victor Buchstaber·Mikhail Kornev·Vladimir Rubtsov
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Abstract

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.

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Victor Buchstaber, Mikhail Kornev, Vladimir Rubtsov. 2026-04-29. Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE. https://arxiv.org/abs/2604.26641

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