Gauge Field Theory and Complex Geometry
2nd Edition
Published on 20. May 1997
Book
Hardback
XII, 348 pages
978-3-540-61378-7 (ISBN)
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.
Reviews / Votes
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 andMore details
Series
Edition
Second Edition 1997
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Edition type
New edition
Illustrations
XII, 348 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 25 mm
Weight
711 gr
ISBN-13
978-3-540-61378-7 (9783540613787)
DOI
10.1007/978-3-662-07386-5
Schweitzer Classification
Other editions
Additional editions
Yuri I. Manin
Gauge Field Theory and Complex Geometry
Book
12/2010
2nd Edition
Springer
€139.09
Shipment within 7-9 days
Previous edition
Yurij I. Manin
Gauge Field Theory and Complex Geometry
Book
06/1988
Springer
€87.00
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Persons
Yuri I. Manin is a retired scientific member of the Max Planck Institute for Mathematics in Bonn. He has received various prizes and notable awards, including the Moscow Mathematical Society Award (1963), the Lenin Prize (1967), the Brouwer Gold Medal (1987), the Frederic Esser Nemmers Prize (1994), the Rolf Schock Prize (1999), the King Faisal Prize for Mathematics, the Georg Cantor Medal of the German Mathematical Society (2002) and the Bolyai Prize (2010).
Content
From the contents: The subject of the book is an expositon of two new ideas in Math. Phys.: that of twistors and that of supersymmetry. The exposition is geometrized and unified. Applications to the solution of nonlinear differential equations of quantum field theory are given, in particular, to the theory of instantons. The exposition is largely based upon the results of the author, published in physical magazins. The second part of the book, Ch. 3 and 4, contain a mathematical introduction to superalgebra and supergeometry, which can be read independently and used by students in algebra and geometry. For the first time in mathematical literature an introduction to the geometry of supergravity is given. Methods of complex geometry, in particular sheaf cohomology, are used throughout. Since the newest quantum field theory, dealing with (super)unification schemes and (super)strings uses more and more of complex geometry, this book may serve to introduce both physicists and mathematicians to this quickly expanding new domain.