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An Introduction to Twistor Theory

An Introduction to Twistor Theory

2nd Edition

Part of London Mathematical Society Student Texts

  • Date Published: September 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521456890

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About the Authors
  • This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. The choice of material presented has evolved from graduate lectures given in London and Oxford and the authors have aimed to retain the informal tone of those lectures. The book will provide graduate students with an introduction to the literature of twistor theory, presupposing some knowledge of special relativity and differential geometry. It would also be of use for a short course on space-time structure independently of twistor theory. The physicist could be introduced gently to some of the mathematics which has proved useful in these areas, and the mathematician could be shown where sheaf cohomology and complex manifold theory can be used in physics.

    • Hints and solutions added to exercises
    • Fully revised original chapters
    • New chapter on cohomolgical functionals
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    Reviews & endorsements

    ' … the book is recommended to anyone seeking to get acquainted with the area.' American Scientist

    ' … a certain amount of preliminary knowledge is assumed of the reader ... but anyone who has these prerequisites and who is interested in twistor theory could hardly do better than to start with this book.' Contemporary Physics

    'In all, the book provides a pleasant starting point for the study of this fascinating subject.' Dr F. E. Burstall, Contemporary Physics

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    Product details

    • Edition: 2nd Edition
    • Date Published: September 1994
    • format: Paperback
    • isbn: 9780521456890
    • length: 192 pages
    • dimensions: 229 x 155 x 12 mm
    • weight: 0.3kg
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Review of tensor algebra
    3. Lorentzian spinors at a point
    4. Spinor fields
    5. Compactified Minkowski space
    6. The geometry of null congruences
    7. The geometry of twistor space
    8. Solving the zero rest mass equations I
    9. Sheaf cohomology
    10. Solving the zero rest mass equations II
    11. The twisted photon and Yang–Mills constructions
    12. The non-linear graviton
    13. Penrose's quasi-local momentum
    14. Cohomological functionals
    15. Further developments and conclusion
    Appendix: The GHP equations.

  • Authors

    S. A. Huggett, University of Plymouth

    K. P. Tod, University of Oxford

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