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Differential topology --- Differential geometry. Global analysis --- Four-manifolds (Topology) --- Variétés topologiques à 4 dimensions --- 515.162 --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Four-manifolds (Topology). --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Variétés topologiques à 4 dimensions

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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.

Knot theory --- 51-7 --- 515.162 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Knot theory. --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Knots (Topology) --- Low-dimensional topology --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Mathematical physics --- Differential geometry. Global analysis --- Théorie des noeuds