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9780521397834

Twistors in Mathematics and Physics

by
  • ISBN13:

    9780521397834

  • ISBN10:

    0521397839

  • Format: Paperback
  • Copyright: 1990-10-26
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Twistor theory after 25 years - its physical status and prospects
Between integral geometry and twistors
Generalized conformal structures
Riemannian twistor spaces and holonomy groups
Twistors, ambitwistors, and conformal gravity
The Penrose transform
Notation for the Penrose transform
The twistor transform
Invariant operators
Penrose's quasi-local mass
The sparkling 3-form, Ashtekar variables and quasi-local mass
Twistor and strings
Integrable systems in twistor theory
Twistor characterization of stationary axisymmetric solutions of Einstein's equations
A two-surface encoding of radiative space-times
Twistors, massless fields and the Penrose transform
Twistor diagrams and Feynman diagrams
Cohomology and twistor diagrams
Authors' addresses
Table of Contents provided by Publisher. All Rights Reserved.

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