Classical Yang-Baxter equation and the A_∞-constraint

2000/08/21 by Alexander Polishchuk, Polishchuk, Alexander
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0008156

25 pages, AMSLatex

arxiv created 2000/08/21 · openalex publication_date 2000/08/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Homological mirror symmetry with higher products

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