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Differential Topology and Quantum Field Theory - Charles Nash

Differential Topology and Quantum Field Theory

Paperback Published: 1st December 1992
ISBN: 9780125140768
Number Of Pages: 386

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The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time.
Key Features
* Treats differential geometry, differential topology, and quantum field theory
* Includes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory
* Tackles problems of quantum field theory using differential topology as a tool

A Topological Preliminary
Elliptic Operators
Cohomology of Sheaves and Bundles
Index Theory for Elliptic Operators
Some Algebraic Geometry
Infinite Dimensional Groups
Morse Theory
Instantons and Monopoles
The Elliptic Geometry of Strings
Anomalies
Conformal Quantum Field Theories
Topological Quantum Field Theories
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780125140768
ISBN-10: 0125140762
Audience: General
Format: Paperback
Language: English
Number Of Pages: 386
Published: 1st December 1992
Publisher: Elsevier Science Publishing Co Inc
Country of Publication: US
Dimensions (cm): 22.86 x 15.24  x 2.08
Weight (kg): 0.53