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OverviewThis 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. Full Product DetailsAuthor: Thaddeus M Cowan (Kansas State Univ, Usa) , David Finkelstein (Georgia Inst Of Technology, Usa) , Louis H Kauffman (Univ Of Illinois At Chicago, Usa) , Eckehard W Mielke (Univ Autonoma Metropolitana (Uam), Mexico)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 6 ISBN: 9789810220044ISBN 10: 9810220049 Pages: 492 Publication Date: 01 March 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Awaiting stock The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsKnot logic, L.H. Kauffman; on vortex atoms; on vortex motion; vortex statics, W. Thomson; connection between spin, statistics, and kinks, D. Finkelstein and J. Rubenstein; flux quantization and particle physics, H. Jehle; knot wormholes in geometrodynamics?, E.W. Mielke; helicity and the Calugareanu invariant, H.K. Moffatt and R.L. Ricca; Witten's invariant of 3-dimensional manifolds - loop expansion and surgery calculus, L. Rozansky; 2+1 dimensional quantum gravity as a Gaussian Fermionic system and the 3D-Ising model, M. Martellini and M. Rasetti; Vassiliev knot invariants and the structure of RNA folding, L.H. Kauffman and Y.B. Magarshak; the entanglement structures of polymers, A. MacArthur; synthesis and cutting in half of a molecular mobius strip - applications of low dimensional topology in chemistry, D.W. Walba et al; turning a Penrose triangle inside out, T.M. Cowan.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |