Gauge field theory and complex geometry
Author(s)
Bibliographic Information
Gauge field theory and complex geometry
(Die Grundlehren der mathematischen Wissenschaften, 289)
Springer, c2010
2nd ed
- : pbk
- Other Title
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Калибровочные поля и комплексная геометрия
Kalibrovochnye poli︠a︡ i komplesknai︠a︡ geometrii︠a︡
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Note
Includes bibliographical references (p. 339-343) and index (p. [345]-346)
Original Russian edition published: Moscow: Nauka, 1984
Description and Table of Contents
Description
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.
Table of Contents
Geometrical Structures in Field Theory.- 1. Grassmannians, Connections, and Integrability.- 2. The Radon-Penrose Transform.- 3. Introduction to Superalgebra.- 4. Introduction to Supergeometry.- 5. Geometric Structures of Supersymmetry and Gravitation.- Recent Developments (by Sergei A. Merkulov).- A. New Developments in Twistor Theory.- B. Geometry on Supermanifolds.- Notes.
by "Nielsen BookData"