The Geometry and Physics of Knots

The Geometry and Physics of Knots

by Michael Atiyah, Atiyah Michael
     
 

ISBN-10: 0521395542

ISBN-13: 9780521395540

Pub. Date: 06/28/2004

Publisher: Cambridge University Press

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…  See more details below

Overview

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.

Product Details

ISBN-13:
9780521395540
Publisher:
Cambridge University Press
Publication date:
06/28/2004
Series:
Lezioni Lincee Series
Pages:
108
Product dimensions:
5.43(w) x 8.50(h) x 0.28(d)

Related Subjects

Table of Contents

Preface; 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; Bibliography; Index.

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