Gauge Field Theory and Complex Geometry / Edition 2

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Overview

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.

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Editorial Reviews

From the Publisher
From the reviews: "The mathematical level is rather advanced and is 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
Booknews
A monograph intended to be read by mature mathematicians of considerable sophistication, and to acquaint such readers with ideas derived from developments in (classical) field theory during the past decade or so, a period during which the leading edge of fundamental physics has drawn inspiration from and stimulated developments at the leading edge of geometry/algebra. Five chapters, attractively printed and produced; translated from the Russian edition of 1984. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9783642082566
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/3/2010
  • Series: Grundlehren der mathematischen Wissenschaften Series , #289
  • Edition description: Softcover reprint of hardcover 2nd ed. 1997
  • Edition number: 2
  • Pages: 348
  • Product dimensions: 0.75 (w) x 9.21 (h) x 6.14 (d)

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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