An Introduction to Twistor Theory

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Cambridge University Press, 1994 - Mathematics - 178 pages
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This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.
 

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Contents

Introduction
1
Review of Tensor Algebra and Calculus
5
Lorentzian Spinors at a Point
11
Spinor Fields
25
Compactified Minkowski Space
33
The Geometry of Null Congruences
45
The Geometry of Twistor Space
53
Solving the Zero Rest Mass Equations I
65
Solving the Zero Rest Mass Equations II
91
The Twisted Photon and YangMills Constructions
99
The NonLinear Graviton
105
Penroses QuasiLocal Momentum and Angular Momentum
119
Functionals on Zero Rest Mass Fields
137
Further Developments arid Conclusions
147
The GHP Equations
163
Copyright

Sheaf Cohomology and Free Fields
71

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About the author (1994)

Tod, University of Oxford.