Differential Topology and Quantum Field Theory.

by Charles Nash

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/ 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 FeaturesTreats differential geometry, differential topology, and quantum field theoryIncludes elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theoryTackles problems of quantum field theory using differential topology as a tool

Genres: Mathematics

400 pages, Hardcover

First published January 28, 1991

Reviews

[Chandra Prakash · Rating 5 out of 5]

One of the best introductory book on the subject though there are few downsides! It is very concise and just skims past over many important concept and lacks diagrams which makes the job of understanding the concepts even harder. However the book covers vast amount of topic which makes it ideal to use as a revision material or get to the names of topic and use other sources to understand and then follow the book to get a short overview of what's it all about.

[Lulu]

Geometry and topology for physicists