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Moscow Seminar in Mathematical Physics

About this Title

A. Yu. Morozov, Institute of Theoretical and Experimental Physics, Moscow, Russia and M. A. Olshanetsky, Institute of Theoretical and Experimental Physics, Moscow, Russia, Editors

Publication: American Mathematical Society Translations: Series 2
Publication Year: 1999; Volume 191
ISBNs: 978-0-8218-1388-1 (print); 978-1-4704-3402-1 (online)
DOI: https://doi.org/10.1090/trans2/191
MathSciNet review: MR1730453
MSC: Primary 00B25; Secondary 37-06

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Table of Contents

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Chapters

• G. E. Arutyunov, L. O. Chekhov and S. A. Frolov – Quantum dynamical $R$-matrices
• B. Enriquez and V. Rubtsov – Some examples of quantum groups in higher genus
• V. V. Fock and A. A. Rosly – Poisson structure on moduli of flat connections on Riemann surfaces and the $r$-matrix
• D. A. Ivanov and A. S. Losev – KZB equations as a flat connection with spectral parameter
• S. Kharchev – Kadomtsev-Petviashvili hierarchy and generalized Kontsevich model
• S. Khoroshkin, D. Lebedev and S. Pakuliak – Yangian algebras and classical Riemann problems
• I. Krichever and A. Zabrodin – Vacuum curves of elliptic $L$-operators and representations of the Sklyanin algebra
• A. M. Levin and M. A. Olshanetsky – Hierarchies of isomonodromic deformations and Hitchin systems
• N. Nekrasov – Infinite-dimensional algebras, many-body systems and gauge theories