An Introduction to Twistor Theory

S. A. Huggett (University of Plymouth), K. P. Tod (University of Oxford)

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English

Cambridge University Press
19 September 1994

Differential & Riemannian geometry; Analytic geometry

Series: London Mathematical Society Student Texts

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.

By: S. A. Huggett (University of Plymouth), K. P. Tod (University of Oxford)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Volume: 4
Dimensions: Height: 235mm, Width: 157mm, Spine: 16mm
Weight: 398g
ISBN: 9780521451574
ISBN 10: 0521451574
Series: London Mathematical Society Student Texts
Pages: 192
Publication Date: 19 September 1994
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for An Introduction to Twistor Theory

' ... 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