Research Catalog

Title

Knots and physics / Louis H. Kauffman.

Author

Kauffman, Louis H., 1945-

Publication

Singapore ; River Edge, NJ : World Scientific, ©1993.

Items in the Library & Off-site

Details

Description

xiv, 723 pages : illustrations; 23 cm

Series Statement

K & E series on knots and everything ; vol. 1

Uniform Title

K & E series on knots and everything ; vol. 1.

Subject

• Knot polynomials
• Mathematical physics
• Knoten Mathematik
• Physik
• Knopentheorie
• Natuurkunde
• Polynômes des noeuds
• Physique mathématique

Bibliography (note)

• Includes bibliographical references (p. 513-529) and index.

Contents

pt. I. Short Course of Knots and Physics -- 1. Physical Knots -- 2. Diagrams and Moves -- 3. States and the Bracket Polynomial -- 4. Alternating Links and Checkerboard Surfaces -- 5. Jones Polynomial and its Generalizations -- 6. Oriented State Model for V[subscript K](t) -- 7. Braids and the Jones Polynomial -- 8. Abstract Tensors and the Yang-Baxter Equation -- 9. Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)q -- 10. Form of the Universal R-matrix -- 11. Yang-Baxter Models for Specializations of the Homfly Polynomial -- 12. Alexander Polynomial -- 13. Knot-Crystals -- Classical Knot Theory in a Modern Guise -- 14. Kauffman Polynomial -- 15. Oriented Models and Piecewise Linear Models -- 16. Three Manifold Invariants from the Jones Polynomial -- 17. Integral Heuristics and Witten's Invariants -- 18. Appendix -- Solutions to the Yang-Baxter Equation -- pt. II. Knots and Physics -- Miscellany -- 1. Theory of Hitches -- 2. Rubber Band and Twisted Tube -- 3. On a Crossing -- 4. Slide Equivalence -- 5. Unoriented Diagrams and Linking Numbers -- 6. Penrose Chromatic Recursion -- 7. Chromatic Polynomial -- 8. Potts Model and the Dichromatic Polynomial -- 9. Preliminaries for Quantum Mechanics, Spin Networks and Angular Momentum -- 10. Quaternions, Cayley Numbers and the Belt Trick -- 11. Quaternion Demonstrator -- 12. Penrose Theory of Spin Networks -- 13. Q-Spin Networks and the Magic Weave -- 14. Knots and Strings -- Knotted Strings -- 15. DNA and Quantum Field Theory -- 16. Knots in Dynamical Systems -- The Lorenz Attractor. Gauss Codes, Quantum Groups and Ribbon Hopf Algebras -- Spin Networks, Topology and Discrete Physics -- Link Polynomials and a Graphical Calculus / Louis H. Kauffman and P. Vogel -- Knots, Tangles, and Electrical Networks / Louis H. Kauffman and J.R. Goldman.

ISBN

• 9810216564
• 9789810216566
• 9810216580
• 9789810216580

OCLC

• ocm30675365
• 30675365
• SCSB-100773

Owning Institutions

Princeton University Library