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The geometry and physics of knots
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ISBN: 0521395216 0521395542 9780521395212 9780521395540 9780511623868 Year: 1991 Publisher: Cambridge Cambridge University Press

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Abstract

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.

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