Quantization, Classical and Quantum Field Theory, and Theta Functions (Crm Monograph Series, 21) - Hardcover

Tyurin, Andrej

Hardcover

ISBN 10: 0821832409 ISBN 13: 9780821832400

Publisher: Amer Mathematical Society, 2003

Synopsis

Tyurin (Steklov Institute of Mathematical Sciences, Moscow) describes numerous aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization, and classical and quantum conformal field theories. The monograph provides a reference for specialists in algebraic geometry and quantum field theory. Topics include quantization procedure, algebraic curves equal Riemann surfaces, symplectic geometry of moduli spaces of vector bundles, and three-valent graphs. Tyurin, a well-known expert in classical algebraic geometry, died in 2002. Annotation (c) Book News, Inc., Portland, OR (booknews.com)

About this title

Review

The book opens a beautiful and grandiose view to a fascinating part of geometry, notably symplectic and algebraic geometry, and, as usual in Andrei Tyurin's work, it has a very geometric flavor. ...The ideal reader should preferably dispose of some basic knowledge of classical algebraic geometry or theory of Riemann surfaces and of symplectic geometry, then he will benefit quite a lot from reading this book. --Zentralblatt MATH

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 2003
• Language: English
• ISBN 10: 0821832409
• ISBN 13: 9780821832400
• Binding: Hardcover
• Number of pages: 136