Sergeev, A. G. Twistors and gauge fields. (English) Zbl 0598.53066 Int. J. Math. Math. Sci. 9, 209-221 (1986). 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 Keywords:Einstein-Hilbert equations; twistor theory; Minkowski space; Penrose correspondence; Ward correspondence; Yang-Mills equations; gravitational instantons PDFBibTeX XMLCite \textit{A. G. Sergeev}, Int. J. Math. Math. Sci. 9, 209--221 (1986; Zbl 0598.53066) Full Text: DOI EuDML