Knots and Physics
ISBN-13:
9789810241124
ISBN-10:
9810241127
Edition:
3rd ed.
Author:
Louis H Kauffman
Publication date:
2001
Publisher:
World Scientific Publishing Company
Format:
Paperback
788 pages
FREE US shipping
Book details
ISBN-13:
9789810241124
ISBN-10:
9810241127
Edition:
3rd ed.
Author:
Louis H Kauffman
Publication date:
2001
Publisher:
World Scientific Publishing Company
Format:
Paperback
788 pages
Summary
Knots and Physics (ISBN-13: 9789810241124 and ISBN-10: 9810241127), written by authors
Louis H Kauffman, was published by World Scientific Publishing Company in 2001.
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Description
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this third edition, a paper by the author entitled "Knot Theory and Functional Integration" has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.
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