ENGLISH

Vector bundles on degenerations of elliptic curves and Yang-Baxter equations

By Bernd Kreußler , Igor Burban

Book information

Publisher
Amer Mathematical Society
Year
2012
ISBN
0821872923, 978-0-8218-7292-5
Language
english
Format
PDF
Filesize
1 MB (1235557 bytes)
Series
Memoirs of the American Mathematical Society 1035
Pages
144\144
Library
kolxoz
Time added
2015-12-12 14:00:00

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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