The Geometry and Physics of Knots / Michael Atiyah.
Material type:
TextSeries: Lezioni linceePublication details: Cambridge ; New York : Cambridge University Press, 1990.Description: x, 78 p. ; 23 cmISBN: - 0521395216
- 0521395542 (paperback)
- QA612.2 .A85 1990
| Item type | Current library | Call number | Copy number | Status | Barcode | |
|---|---|---|---|---|---|---|
| Books | Library First Floor | QA612.2 .A85 1990 (Browse shelf(Opens below)) | 1 | Available | 8891 |
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| QA612 .S6 1981 Algebraic topology / | QA612.14 .F46 2003 Discontinuous Groups of Isometries in the Hyperbolic Plane / | QA612.14 .M37 2007 Algorithmic topology and classification of 3-manifolds / | QA612.2 .A85 1990 The Geometry and Physics of Knots / | QA612.6 .S74 1999 The Topology of Fibre Bundles / | QA613 .L44 2003 Introduction to Smooth Manifolds / | QA613.2 .L44 2000 Introduction to topological manifolds / |
Includes bibliographical references (p. [73]-75) and index.
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.
These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area 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 here 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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