Vector bundles on degenerations of elliptic curves and Yang-Baxter equations /
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Author / Creator: | Burban, Igor, 1977- author. |
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Imprint: | Providence, Rhode Island : American Mathematical Society, 2012. |
Description: | v, 131 pages : illustrations ; 25 cm |
Language: | English |
Series: | Memoirs of the American Mathematical Society ; number 1035 Memoirs of the American Mathematical Society ; number 1035. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8954355 |
Summary: | 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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Item Description: | "November 2012, volume 220, number 1035 (third of 4 numbers)" |
Physical Description: | v, 131 pages : illustrations ; 25 cm |
Bibliography: | Includes bibliographical references. |
ISBN: | 9780821872925 0821872923 |