Cohomology and massless fields

  title={Cohomology and massless fields},
  author={Michael Eastwood and Roger Penrose and Raymond O. Wells},
  journal={Communications in Mathematical Physics},
The geometry of twistors was first introduced in Penrose [28]. Since that time it has played a significant role in solutions of various problems in mathemetical physics of both a linear and nonlinear nature (cf. Penrose [29], Penrose [35], Ward [48], and Atiyah-Hitchin-Drinfeld-Manin [2], see Wells [52] for a recent survey of the topic with a more extensive bibliography). The major role it has played has been in setting up a general correspondence which translates certain important physical… 
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  • M. Eastwood
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    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1985
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AbstractThe formalism of twistors [the ‘spinors’ for the group O(2,4)] is employed to give a concise expression for the solution of the zero rest-mass field equations, for each spin (s=0, 1/2, 1,
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 This thesis is concerned with the problem of "coding" the information of various zero-rest-mass fields into the complex structure of "curved twistor spaces". Chapter 2 is devoted to various
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* Presents a concise introduction to the basics of analysis and geometry on compact complex manifolds * Provides tools which are the building blocks of many mathematical developments over the past
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  • R. Penrose
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    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1965
A zero rest-mass field of arbitrary spin s determines, at each event in space-time, a set of 2s principal null directions which are related to the radiative behaviour of the field. These directions
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Minimum action solutions for SU(2) Yang-Mills fields in Euclidean 4-space correspond, via the Penrose twistor transform, to algebraic bundles on the complex projective 3-space. These bundles in turn
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The method proposed by Gel'fand in [i] (see also [2, Appendix 8]) has turned out to be extremely fruitful in the problem of representing solutions of equations with periodic coefficients. Application
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Using ideas and techniques adopted from the theory of self-dual gravitational fields we investigate properties of self-dual gauge fields. A linear equation which generates these fields is the center