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• catalog contributor b12274451.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description "Includes bibliographical references.".
• catalog description "Pt. I. A 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. The Jones Polynomial and its Generalizations -- 6. An 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. The Form of the Universal R-matrix -- 11. Yang-Baxter Models for Specializations of the Homfly Polynomial -- 12. The Alexander Polynomial -- 13. Knot-Crystals -- Classical Knot Theory in a Modern Guise -- 14. The 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. The Rubber Band and Twisted Tube -- 3. On a Crossing -- 4. Slide Equivalence -- 5. Unoriented Diagrams and Linking Numbers -- 6. The Penrose Chromatic Recursion -- 7. The Chromatic Polynomial -- 8. The 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. The Quaternion Demonstrator -- 12. The 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 -- App. Gauss Codes, Quantum Groups and Ribbon Hopf Algebras -- App. Spin Networks, Topology and Discrete Physics -- App. Link Polynomials and a Graphical Calculus / Louis H. Kauffman and P. Vogel -- App. Knots, Tangles, and Electrical Networks / Louis H. Kauffman and J. R. Goldman -- App. Knot Theory and Functional Integration.".
• catalog extent "xvi, 770 p. :".
• catalog identifier "9810241119".
• catalog identifier "9810241127 (pbk.)".
• catalog isPartOf "K & E series on knots and everything ; v. 1".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Singapore ; River Edge, N.J. : World Scientific,".
• catalog subject "Knot polynomials.".
• catalog subject "Mathematical physics.".
• catalog subject "QC20.7.K56 K38 2001".
• catalog tableOfContents "Pt. I. A 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. The Jones Polynomial and its Generalizations -- 6. An 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. The Form of the Universal R-matrix -- 11. Yang-Baxter Models for Specializations of the Homfly Polynomial -- 12. The Alexander Polynomial -- 13. Knot-Crystals -- Classical Knot Theory in a Modern Guise -- 14. The 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. The Rubber Band and Twisted Tube -- 3. On a Crossing -- 4. Slide Equivalence -- 5. Unoriented Diagrams and Linking Numbers -- 6. The Penrose Chromatic Recursion -- 7. The Chromatic Polynomial -- 8. The 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. The Quaternion Demonstrator -- 12. The 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 -- App. Gauss Codes, Quantum Groups and Ribbon Hopf Algebras -- App. Spin Networks, Topology and Discrete Physics -- App. Link Polynomials and a Graphical Calculus / Louis H. Kauffman and P. Vogel -- App. Knots, Tangles, and Electrical Networks / Louis H. Kauffman and J. R. Goldman -- App. Knot Theory and Functional Integration.".
• catalog title "Knots and physics / Louis H. Kauffman.".
• catalog type "text".