Davidov, J.; Sergeev, A. G. Twistor quantization of loop spaces. (English. Russian original) Zbl 0979.53095 Sergeev, A. G. (ed.) et al., Loop spaces and groups of diffeomorphisms. Collected papers. Moscow: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 217, 1-90 (1997); translation from Tr. Mat. Inst. Steklova 217, 5-99 (1997). Summary: A twistor interpretation of the geometric quantization method in application to the loop spaces of Lie groups is given in the second part of this paper. The first part contains a detailed exposition of basic facts of the Kähler geometry of loop spaces.For the entire collection see [Zbl 0907.00018]. Cited in 1 Document MSC: 53D50 Geometric quantization 81S10 Geometry and quantization, symplectic methods 53C28 Twistor methods in differential geometry 32L25 Twistor theory, double fibrations (complex-analytic aspects) 22E67 Loop groups and related constructions, group-theoretic treatment 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory Keywords:twistor; geometric quantization; loop spaces; Kähler geometry PDFBibTeX XMLCite \textit{J. Davidov} and \textit{A. G. Sergeev}, in: Loop spaces and groups of diffeomorphisms. Collected papers. Moscow: MAIK Nauka/Interperiodica Publishing. 1--90 (1997; Zbl 0979.53095); translation from Tr. Mat. Inst. Steklova 217, 5--99 (1997)