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Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations
Igor BurbanBernd Kreussler
出版American Mathematical Soc., 2012
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Geometry / AlgebraicMathematics / TopologyScience / Physics / Quantum Theory
ISBN08218729239780821872925
URLhttp://books.google.com.hk/books?id=iZICAQAAQBAJ&hl=&source=gbs_api
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註釋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.