Gauge field theory and complex geometry

Author(s)

Bibliographic Information

Gauge field theory and complex geometry

Yuri I. Manin ; translated from the Russian by N. Koblitz and J.R. King ; with an appendix by Sergei Merkulov

(Die Grundlehren der mathematischen Wissenschaften, 289)

Springer, c2010

2nd ed

  • : pbk

Other Title

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.

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