Knots and applications

by Kauffman, Louis H.

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Title Statements

Full title :Knots and applications / editor, Louis H. Kauffman.

Summary

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 will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory.

Edition Statements

Publication Date:1995.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:1995.

The Physical Object

Description:1 online resource (xi, 478 pages) : : illustrations

Edition Identifiers

ISBN:9789812796189, 9812796185
oclc:ocn826658066
LC Classification:QC20.7.K56
Dewey Decimal:501/.514224

Knot logic / Louis H. Kauffman -- On vortex atoms; on vortex motion; vortex statics / Sir William Thomson, Lord Kelvin -- Connection between spin, statistics, and kinks / David Finkelstein and Julio Rubinstein -- Flux quantization and particle physics / Herbert Jehle -- Knot wormholes in geometrodynamics? / Eckehard W. Mielke -- Helicity and the Calugareanu invariant / H.K. Moffatt and Renzo L. Ricca -- Witten's invariant of 3-dimensional manifolds: loop expansion and surgery calculus / Lev Rozansky -- 2+1 dimensional quantum gravity as a Gaussian fermionic system and the 3D-Ising model / Maurizio Martellini and Mario Rasetti -- Vassiliev knot invariants and the structure of RNA folding / Louis H. Kauffman and Yuri B. Magarshak -- The entanglement structures of polymers / Alison MacArthur -- Synthesis and cutting "in half" of a molecular Mobius strip-applications of low dimensional topology in chemistry / David W. Walba [and others] -- Turning a Penrose triangle inside out / Thaddeus M. Cowan.