Classical Yang–Baxter Equation and the A-Constraint

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We show that elliptic solutions of classical Yang–Baxter equation (CYBE) can be obtained from triple Massey products on an 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. © 2002 Elsevier Science (USA).

Document Type: Research Article


Affiliations: Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston, Massachusetts, 02215

Publication date: June 1, 2002

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