Classical Yang-Baxter equation and the $A_{\infty}$-constraint
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0008156,
title = {Classical Yang-Baxter equation and the $A_{\infty}$-constraint},
author = {Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/0008156},
year = {2007}
}
Comments
25 pages, AMSLatex