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

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

2000-08-21

arxiv.org/abs/math/0008156v1

Mathematics

Algebraic Geometry

25 pages, AMSLatex

Scientific paper

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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