Nato Science Series B:

Differential Geometric Methods in Theoretical Physics

Physics and Geometry

Editors: Chau, Ling-Lie, Nahm, Werner (Eds.)

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About this book

After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit­ ful again. Many of the leading specialists of both fields became involved in this devel­ opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im­ portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me­ chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth­ while.

Table of contents (49 chapters)

  • Introduction to the 18th Conference on ‘Differential Geometrical Methods in Theoretical Physics’

    Bleuler, Konrad

    Pages 1-4

  • Baxterization

    Jones, V. F. R.

    Pages 5-11

  • Geometric Classification of Commutative Algebras of Ordinary Differential Operators

    Mulase, Motohico

    Pages 13-27

  • Geometrical Aspects of Solvable Two Dimensional Models

    Tanaka, K.

    Pages 29-40

  • Explicit Soliton-Generating Bäcklund Transformations

    Yen, H. C. (et al.)

    Pages 41-45

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4684-9148-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-306-43807-3
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $119.99
price for USA in USD
  • ISBN 978-1-4684-9150-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Geometric Methods in Theoretical Physics
Book Subtitle
Physics and Geometry
Editors
  • Ling-Lie Chau
  • Werner Nahm
Series Title
Nato Science Series B:
Series Volume
245
Copyright
1990
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4684-9148-7
DOI
10.1007/978-1-4684-9148-7
Hardcover ISBN
978-0-306-43807-3
Softcover ISBN
978-1-4684-9150-0
Series ISSN
0258-1221
Edition Number
1
Number of Pages
XVI, 830
Topics