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    Knots and Physics: Fourth Edition

    ISBN-10: 9814383015
    ISBN-13: 9789814383011
    Edition: 2012
    Author(s): Louis H. Kauffman
    Description: 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  More...
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    List Price: $108.00
    Copyright Year: 2012
    Publisher: World Scientific Pub Co Inc
    Binding: Paperback
    Pages: 800
    Size: 6.00" wide x 8.75" long x 1.75" tall
    Weight: 2.750
    Language: English

    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.

    Preface to the First Edition
    Preface to the Second Edition
    Preface to the Third Edition
    Preface to the Fourth Edition
    A Short Course of Knots and Physics
    Physical Knots
    Diagrams and Moves
    States and the Bracket Polynomial
    Alternating Links and Checkerboard Surfaces
    The Jones Polynomial and its Generalizations
    An Oriented State Model for V<sub>K</sub>(t)
    Braids and the Jones Polynomial
    Abstract Tensors and the Yang-Baxter Equation
    Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)<sub>q</sub>
    The Form of the Universal R-matrix
    Yang-Baxter Models for Specializations of the Homily Polynomial
    The Alexander Polynomial
    Knot-Crystals - Classical Knot Theory in a Modern Guise
    The Kauffman Polynomial
    Oriented Models and Piecewise Linear Models
    Three Manifold Invariants from the Jones Polynomial
    Integral Heuristics and Witten's Invariants
    Appendix - Solutions to the Yang-Baxter Equation
    Knots and Physics - Miscellany
    Theory of Hitches
    The Rubber Band and Twisted Tube
    On a Crossing
    Slide Equivalence
    Unoriented Diagrams and Linking Numbers
    The Penrose Chromatic Recursion
    The Chromatic Polynomial
    The Potts Model and the Dichromatic Polynomial
    Preliminaries for Quantum Mechanics, Spin Networks and Angular Momentum
    Quaternions, Cayley Numbers and the Belt Trick
    The Quaternion Demonstrator
    The Penrose Theory of Spin Networks
    Q-Spin Networks and the Magic Weave
    Knots and Strings - Knotted Strings
    DNA and Quantum Field Theory
    Knots in Dynamical Systems - The Lorenz Attractor
    Coda
    References
    Appendix
    Introduction
    Gauss Codes, Quantum Groups and Ribbon Hopf Algebras
    Spin Networks, Topology and Discrete Physics
    Link Polynomials and a Graphical Calculus
    Knots, Tangles, and Electrical Networks
    Knot Theory and Functional Integration
    Introduction to Virtual Knot Theory and Khovanov Homology
    Index

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