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The Geometry and Physics of Knots : Lezioni Lincee - Sir Michael Atiyah

The Geometry and Physics of Knots

Lezioni Lincee

Paperback Published: 22nd October 1990
ISBN: 9780521395540
Number Of Pages: 108

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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.

"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." Nature "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

Preface
History and background
Topological quantum field theories
Non-abelian moduli spaces
Symplectic quotients
The infinite-dimensional case
Projective flatness
The Feynman integral formulation
Final comments
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521395540
ISBN-10: 0521395542
Series: Lezioni Lincee
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 108
Published: 22nd October 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.46 x 13.69  x 0.64
Weight (kg): 0.12

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