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Twistors and gauge fields. (English) Zbl 0598.53066

This paper reviews the basic ideas of twistor theory. It discusses the geometry of twistor space and how it relates to Minkowski space, the Penrose correspondence between solutions of zero rest mass field equations and holomorphic cohomology on twistor space, the Ward correspondence between solutions of the Yang-Mills equations and holomorphic bundles on twistor space and Penrose’s method of constructing gravitational instantons.
Reviewer: K.Murray

MSC:

53C80 Applications of global differential geometry to the sciences
83C50 Electromagnetic fields in general relativity and gravitational theory
81T08 Constructive quantum field theory
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