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math.AG2012
Vector bundles on plane cubic curves and the classical Yang-Baxter equation
Igor Burban, Thilo Henrich
In this article, we develop a geometric method to construct solutions of the classical Yang-Baxter equation, attaching to the Weierstrass family of plane cubic curves and a pair of…
math.AG2010
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
Igor Burban, Thilo Henrich
In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point from the upper half-plane and an i…