Modifications of bundles, elliptic integrable systems, and related problems
Identifieur interne : 000066 ( Main/Exploration ); précédent : 000065; suivant : 000067Modifications of bundles, elliptic integrable systems, and related problems
Auteurs : A. V. Zotov [Russie] ; A. V. Smirnov [Russie, États-Unis]Source :
- Theoretical and Mathematical Physics [ 0040-5779 ] ; 2013-10-01.
English descriptors
Abstract
Abstract: We describe a construction of elliptic integrable systems based on bundles with nontrivial characteristic classes, especially attending to the bundle-modification procedure, which relates models corresponding to different characteristic classes. We discuss applications and related problems such as the Knizhnik-Zamolodchikov-Bernard equations, classical and quantum R-matrices, monopoles, spectral duality, Painlevé equations, and the classical-quantum correspondence. For an SL(N,ℂ)-bundle on an elliptic curve with nontrivial characteristic classes, we obtain equations of isomonodromy deformations.
Url:
DOI: 10.1007/s11232-013-0106-1
Affiliations:
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