Knots and Applications

By: Thaddeus M Cowan (Editor), David Finkelstein (Editor), Louis H Kauffman (Editor), Eckehard W Mielke (Editor), H Keith Moffatt (Editor)

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Hardcover | 1 December 1994

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Hardcover
492 Pages

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26.04 x 18.42 x 3.18

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This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th-century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics, and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume should be of interest to workers interested in new possibilities in the uses of knots and knot theory.

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Non-Fiction Science Physics Mathematical Physics Mathematics Applied Mathematics Topology Algebraic Topology Science in General Philosophy of Science Booktopia Publisher Services World Scientific Publishing

Preface
Knot Logic	p. 1
On Vortex Atoms; On Vortex Motion; Vortex Statics	p. 111
Connection between Spin, Statistics, and Kinks	p. 193
Flux Quantization and Particle Physics	p. 211
Knot Wormholes in Geometrodynamics?	p. 229
Helicity and the Calugareanu Invariant	p. 251
Witten's Invariant of 3-Dimensional Manifolds: Loop Expansion and Surgery Calculus	p. 271
2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model	p. 301
Vassiliev Knot Invariants and the Structure of RNA Folding	p. 343
The Entanglement Structures of Polymers	p. 395
Synthesis and Cutting "In Half" of a Molecular Mobius Strip - Applications of Low Dimensional Topology in Chemistry	p. 427
Turning a Penrose Triangle Inside Out	p. 465
List of Authors	p. 477
Table of Contents provided by Blackwell. All Rights Reserved.

Knots and Applications

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Hardcover

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