Description |
1 online resource (xii, 178 pages) : illustrations |
Series |
London Mathematical Society student texts ; 4 |
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London Mathematical Society student texts ; 4.
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Contents |
1. Introduction -- 2. Review of Tensor Algebra and Calculus -- 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 and Free Fields -- 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 and Angular Momentum -- 14. Functionals on Zero Rest Mass Fields -- 15. Further Developments and Conclusions -- 16. Hints, Solutions and Notes to the Exercises -- Appendix: The GHP Equations |
Summary |
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 |
Bibliography |
Includes bibliographical references (pages 167-173) and index |
Notes |
Online resource; title from digital title page (viewed on September 17, 2019) |
Subject |
Twistor theory.
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SCIENCE -- Waves & Wave Mechanics.
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Twistor theory
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Twistor
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Twistoren theorie.
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GEOMETRIA ALGÉBRICA.
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Torseurs, Théorie des.
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Form |
Electronic book
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Author |
Tod, K. P., author.
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ISBN |
9781107361997 |
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1107361990 |
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9780511624018 |
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0511624018 |
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9781107366909 |
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1107366909 |
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9780511959455 |
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0511959451 |
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