Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
Author(s)
Bibliographic Information
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
（Memoirs of the American Mathematical Society, no. 1035）
American Mathematical Society, 2012
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"November 2012, volume 220, number 1035 (third of 4 numbers)."
Includes bibliographical references (p. 129-131)
Description and Table of Contents
Description
In this paper the authors introduce the notion of a geometric associative $r$-matrix attached to a genus one fibration with a section and irreducible fibres. It allows them to study degenerations of solutions of the classical Yang-Baxter equation using the approach of Polishchuk. They also calculate certain solutions of the classical, quantum and associative Yang-Baxter equations obtained from moduli spaces of (semi-)stable vector bundles on Weierstrass cubic curves.
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