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The Geometry and Physics of Knots
Paperback
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Artikel-Nr:
9780521395540
Veröffentl:
2004
Einband:
Paperback
Erscheinungsdatum:
26.06.2004
Seiten:
108
Autor:
Michael Francis Atiyah
Gewicht:
148 g
Format:
216x140x6 mm
Sprache:
Englisch
Beschreibung:
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.
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.