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Differential Geometrical Methods in Theoretical Physics

  • Book
  • © 1988

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Editors:
  1. K. Bleuler

    1. Institute for Theoretical Nuclear Physics, University of Bonn, Bonn, Germany

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  2. M. Werner

    1. Institute for Theoretical Nuclear Physics, University of Bonn, Bonn, Germany

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Part of the book series: Nato Science Series C: (ASIC, volume 250)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xvii
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  2. The Impact of Physics on Geometry

    1. The Impact of Physics on Geometry

      • Michael Atiyah
      Pages 1-9

  3. Mathematical Contributions

    1. Weyl’s Program and Modern Physics

      • George W. Mackey
      Pages 11-36

    2. Elliptic Genera of Level N for Complex Manifolds

      • Friedrich Hirzebruch
      Pages 37-63

    3. The Principle of Triality and A Distinguished Unitary Representation of SO(4,4)

      • Bertram Kostant
      Pages 65-108

    4. On E 10

      • V. G. Kac, R. V. Moody, M. Wakimoto
      Pages 109-128

  4. Special Aspects of String Theory

    1. Operator Methods in String Theory

      • Luis Alvarez-Gaumé
      Pages 129-144

    2. On Strings and J.Douglas Variational Principle

      • Tullio Regge
      Pages 145-148

    3. Groupoids and Lie Bigebras in Gauge and String Theories

      • Meinhard E. Mayer
      Pages 149-164

  6. Two Classical Domains: — Symplectic Structures in Physics — General Relativity

    1. The pairing method and bosonic anomalies

      • Shlomo Stemberg
      Pages 261-293

    2. A Multisymplectic Approach to the KdV Equation

      • Mark J. Gotay
      Pages 295-305

    3. Singular Points in Level Sets of the Momentum Map and Quantum Theory

      • H. Römer
      Pages 307-315

    4. Killing Spinors and Universality of the Hijazi Inequality

      • André Lichenrowicz
      Pages 317-332

    5. Towards a Renormalizable Theory of Quantum Gravity

      • Yuval Ne’eman, Djordje Šijački
      Pages 333-343

    6. Gauge Theory for Diffeomorphism Groups

      • Peter W. Michor
      Pages 345-371
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Reviews

`Anybody ... will find in this book a lot of new original information and inspiration for further research.'
Class Quantum Grav, 7, 1990

Editors and Affiliations

  • Institute for Theoretical Nuclear Physics, University of Bonn, Bonn, Germany

    K. Bleuler, M. Werner

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