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Geometry and Quantum Field Theory

Geometry and Quantum Field Theory

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Explores topics from classical and quantum mechanics and field theory. This book covers Lie groups and symplectic geometry, examining the connection with mechanics and the application to differential equations and the work of the Gromov school. It also describes the application of supersymmetry to prove the Atiyah-Singer index theorem.
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Geometry and Quantum Field Theory Summary


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.

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Table of Contents


An introduction to Lie groups and symplectic geometry by R. L. Bryant Introduction to quantum field theory for mathematicians by J. M. Rabin Lectures on quantum mechanics and the index theorem by O. Alvarez Lectures on axiomatic topological quantum field theory by F. S. Quinn.

Additional information

GOR010204746
Geometry and Quantum Field Theory by
IAS/Park City Mathematics Series
Used - Very Good
Paperback
American Mathematical Society
1995-03-15
0821804006
9780821804001
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.