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Classical Yang-Baxter equation and the $A_{\infty}$-constraint

Alexander Polishchuk
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Abstract

We show that elliptic solutions of the classical Yang-Baxter equation can be obtained from triple Massey products on elliptic curve. We introduce the associative version of this equation which has two spectral parameters and construct its elliptic solutions. We also study some degenerations of these solutions.

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Alexander Polishchuk. 2000-08-21. Classical Yang-Baxter equation and the $A_{\infty}$-constraint. https://arxiv.org/abs/math/0008156

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