4.6 Article

Classical Yang-Baxter equation and the A∞-constraint

Journal

ADVANCES IN MATHEMATICS
Volume 168, Issue 1, Pages 56-95

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/aima.2001.2047

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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. (C) 2002 Elsevier Science (USA).

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