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Algebraic topology --- Surfaces --- Topology --- 515.162 --- Curved surfaces --- Geometry --- Shapes --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids

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In this volume, which is dedicated to H. Seifert, are papers based on talks given at the Isle of Thorns conference on low dimensional topology held in 1982.

Low-dimensional topology --- 515.162 --- Topology, Low-dimensional --- Algebraic topology --- Manifolds (Mathematics) --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Congresses --- Differential topology --- Congresses. --- Low-dimensional topology - Congresses

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51-7 --- 531.19 --- 515.162 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Statistical mechanics --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Braid theory. --- Knot theory. --- Statistical mechanics. --- Quantum field theory. --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- 531.19 Statistical mechanics --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc.

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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