Differential Topology and Quantum Field Theory

Covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. This book treats differential geometry, differential topology, and quantum field theory. It tackles problems of quantum field theory using differential topology as a tool.

List of contents

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.

Product details

• Authors: Charles Nash, Charles (St. Patrick's College Nash, Nash Charles
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Paperback / Softback
• Released: 23.10.1992
• EAN: 9780125140768
• ISBN: 978-0-12-514076-8
• No. of pages: 386
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / General, MATHEMATICS / Topology, geometry, Analytic topology