The Geometry and Physics of Knots
$43.99 USD
Part of Lezioni Lincee
- Author: Michael Atiyah, Trinity College, Cambridge
- Date Published: April 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511878367
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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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×Product details
- 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
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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