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Differential Topology & Quantum Field Theory Charles Nash

Differential Topology & Quantum Field Theory

Charles Nash

Published January 28th 1991
ISBN : 9780125140751
Hardcover
377 pages
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 About the Book 

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