Geometry and Quantum Field Theory: June 22-July 20, 1991, Park City, Utah (Ias/Park City Mathematics, Vol 1) - Softcover

Daniel S. Freed

Softcover

ISBN 10: 0821804006 ISBN 13: 9780821804001

Publisher: American Mathematical Society, 1995

Synopsis

Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians. Alvarez describes the application of supersymmetry to prove the Atiyah-Singer index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1995
• ISBN 10: 0821804006
• ISBN 13: 9780821804001
• Binding: Paperback
• Language: English
• Number of pages: 459
• Editor: Karen K. Uhlenbeck