Yuri I. Manin

Gauge Field Theory and Complex Geometry

Mitarbeit:Merkulov, S.;Übersetzung:Koblitz, N.; King, J.R.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Grundlehren der mathematischen Wissenschaften 289
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-08256-6
• 2nd ed.
• Seitenzahl: 364
• Erscheinungstermin: 4. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 520g
• ISBN-13: 9783642082566
• ISBN-10: 3642082564
• Artikelnr.: 32058248

Autorenporträt

¿Yuri I. Manin is a Professor at the Max Planck Institute for Mathematics in Bonn. Personal distinctions include: Principal Researcher, Steklov Mathematical Institute, 1960-1993; since 1993 Principal Researcher in absentia. Professor (Algebra Chair), University of Moscow 1965-1992. Professor, M.I.T. 1992-1993. Scientific Member, MPI for Mathematics since 1993. Director, MPI for Mathematics 1995-2005, now Professor Emeritus. Board of Trustees Professor, Northwestern University (Evanston, USA) 2002-2011, now Professor Emeritus. Lenin Prize 1967. Brouwer Medal 1987. Frederic Esser Nemmers Prize 1994. Rolf Schock Prize in Mathematics 1999. King Faisal International Prize in Mathematics 2002. Georg Cantor Medal 2002. Order pour le Mérite for Science and Art, Germany, 2007. Great Cross of Merit with Star, Germany, 2008. János Bolyai International Mathematical Prize, Hungarian Academy of Sciences, 2010. Member of nine Academies of Sciences. Honorary degrees at Sorbonne, Oslo, Warwick.Honorary Member of the London Math. Society.

Inhaltsangabe

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.

Rezensionen

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 )

"In the last two decades two new ideas were introduced into mathematical physics. The first of these is the notion of twistor geometry and the other that of supersymmetry. In this book by Y.I. Manin we find a beautiful blend of developments stemming from these two ideas written by a master expositor who uses the language of algebraic geometry to synthesize and unify the fundamental ideas involves." - From a review of the Russian edition.