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Integrable Systems and Quantum Groups

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

  • Book
  • © 1996

Overview

Authors:
  1. Ron Donagi
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  2. Boris Dubrovin
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  3. Edward Frenkel
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  4. Emma Previato
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Editors:
  1. Mauro Francaviglia
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  2. Silvio Greco
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1620)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Spectral covers, algebraically completely integrable, hamiltonian systems, and moduli of bundles

    • Ron Donagi, Eyal Markman
    Pages 1-119

  3. Geometry of 2D topological field theories

    • Boris Dubrovin
    Pages 120-348

  4. Integrals of motion and quantum groups

    • Boris Feigin, Edward Frenkel
    Pages 349-418

  5. Seventy years of spectral curves: 1923–1993

    • Emma Previato
    Pages 419-481

  6. Back Matter

    Pages 483-488
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Keywords

About this book

The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.

Bibliographic Information

  • Book Title: Integrable Systems and Quantum Groups

  • Book Subtitle: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

  • Authors: Ron Donagi, Boris Dubrovin, Edward Frenkel, Emma Previato

  • Editors: Mauro Francaviglia, Silvio Greco

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094791

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-60542-3Published: 01 November 1995

  • eBook ISBN: 978-3-540-47706-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 492

  • Topics: Algebraic Geometry, Theoretical, Mathematical and Computational Physics

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