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arXiv · 2006.06101

Geometrization of trigonometric solutions of the associative and classical Yang-Baxter equations

Alexander Polishchuk
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Abstract

We describe a geometric construction of all nondegenerate trigonometric solutions of the associative and classical Yang-Baxter equations. In the associative case the solutions come from symmetric spherical orders over the irreducible nodal curve of arithmetic genus $1$, while in the Lie case they come from spherical sheaves of Lie algebras over the same curve.

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Alexander Polishchuk. 2020-06-10. Geometrization of trigonometric solutions of the associative and classical Yang-Baxter equations. https://arxiv.org/abs/2006.06101

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