Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
Algebraic Geometry
2009-07-11 v2 Quantum Algebra
Abstract
In this paper we introduce the notion of a geometric associative r-matrix attached to a genus one fibration with a section and irreducible fibres. It allows us to study degenerations of solutions of the classical Yang-Baxter equation using the approach of Polishchuk. We 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.
Keywords
Cite
@article{arxiv.0708.1685,
title = {Vector bundles on degenerations of elliptic curves and Yang-Baxter equations},
author = {Igor Burban and Bernd Kreussler},
journal= {arXiv preprint arXiv:0708.1685},
year = {2009}
}
Comments
140 pages, extended version, some typos corrected