The Geometry and Physics of Knots
$34.00 ( ) USD
Part of Lezioni Lincee
- Author: Michael Atiyah, Trinity College, Cambridge
Adobe eBook Reader
Other available formats:
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.
Reviews & endorsements
"The exposition is admirably lucid and elegant and I cannot imagine a better introduction, for graduate students and the more experienced, for mathematicians and physicists, to the large amount of high-powered mathematics required...As a source of insight this book is marvellous." NatureSee more reviews
"For those with some of the background...Atiyah's book is a marvelous appetizer, an invitation to delve more deeply. For the interested scientist who is not directly involved, there is still the pleasure of the safari in the hands of an excellent guide." American Scientist
"...provides an invaluable commentary for mathematicians to Witten's important paper 'Quantum field theory and the Jones polynomial'...." Steven Rosenberg, Mathematical Reviews
"The exposition is taut and the writing simple, elegant, and to the point. It is in fact a tour de force of single-minded and jargon-free exposition....we are dealing here more with poetry and inspirational writing than with the prose of everyday mathematics, and in this spirit, it is a pleasure to recommend this little volume to one and all." Raoul Bott, Bulletin of the American Mathematical Society
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: April 2011
- format: Adobe eBook Reader
- isbn: 9780511878367
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. History and background
2. Topological quantum field theories
3. Non-abelian moduli spaces
4. Symplectic quotients
5. The infinite-dimensional case
6. Projective flatness
7. The Feynman integral formulation
8. Final comments
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×