Gauge Field Theory and Complex Geometry (Grundlehren der mathematischen Wissenschaften, 289)

From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov. Front Matter....Pages I-XII Introduction....Pages 1-6 Grassmannians, Connections, and Integrability....Pages 7-60 The Radon-Penrose Transform....Pages 61-152 Introduction to Superalgebra....Pages 153-180 Introduction to Supergeometry....Pages 181-232 Geometric Structures of Supersymmetry and Gravitation....Pages 233-286 Back Matter....Pages 287-348