Twistors in Mathematics and Physics (London Mathematical Society Lecture Note Series, Series Number 156)

Twistor Theory Has Become A Diverse Subject As It Has Spread From Its Origins In Theoretical Physics To Applications In Pure Mathematics. This 1990 Collection Of Review Articles Covers The Considerable Progress Made In A Wide Range Of Applications Such As Relativity, Integrable Systems, Differential And Integral Geometry And Representation Theory. The Articles Explore The Wealth Of Geometric Ideas Which Provide The Unifying Themes In Twistor Theory, From Penrose's Quasi-local Mass Construction In Relativity, To The Study Of Conformally Invariant Differential Operators, Using Techniques Of Representation Theory. Edited By T.n. Bailey, R.j. Baston. Includes Bibliographical References. Preface Contents 1. Twistor Theory After 25 Years — its Physical Status and Prospects 2. Between Integral Geometry and Twistors 3. Generalized Conformal Structures 4. Riemannian Twistor Spaces and Holonomy Groups 5. Twistors, Ambitwistors, and Conformal Gravity 6. The Penrose Transform 7. Notation for the Penrose Thansform 8. The Twistor Transform 9. Invariant Operators 10. Penrose's Quasi-local Mass 11. The Sparling 3-form, Ashtekar Variables and Quasi-local Mass 12. Twistors and Strings 13. Integrable Systems in Twistor Theory 14. Twistor Characterization of Stationary Axisymmetric Solutions of Einstein's Equations 15. A Two-surface Encoding of Radiative Space-times 16. Twistors, Massless Fields and the Penrose Transform 17. Twistor Diagrams and Feynman Diagrams 18. Cohomology and Twistor Diagrams Authors' Addresses