Knots and Physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
2012
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 5. topology: mirror images, tangles and continued fractions Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Preface to the Fourth Edition; Table of Contents; Part 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 VK(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 S L(2}q 10. The Form of the Universal R-matrix11. 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; Part II. Knots and Physics -- Miscellany; 1. Theory of Hitches; 2. The Rubber Band and Twisted 1\1be; 3. On a Crossing.; 4. Slide Equivalence 5. Unoriented Diagrams and Linking Numbers6. 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 ... . 501 Coda; References; Appendix IntroductionGauss Codes, Quantum Groups and Ribbon Hopf Algebras; I. Introduction; II. Knots and the Gauss Code; III. Jordan Curves and Immersed Plane Curves; IV. The Abstract Tensor Model for Link Invariants; V. From Abstract Tensors to Quantum Algebras; VI. From Quantum Algebra to Quantum Groups; VII. Categories; VIII. Invariants of 3-Manifolds; IX. Epilogue; References; Spin Networks, Topology and Discrete Physics; I. Introduction; II. Trees and Four Colors; III. The Temperley Lieb Algebra; IV. Temperley Lieb Recoupling Theory; V. Penrose Spin Networks; VI. Knots and 3-Manifolds VII. The Shadow WorldVIII. The Invariants of Ooguri, Crane and Yetter; References; Link Polynomials and a Graphical Calculus (with P. Vogel}; 0. Introduction; 1. Rigid Vertex Isotopy; 2. The Homfty Polynomial; 3. Braids and the Heeke Algebra; 4. Demonstration of Identities in Oriented Graphical Calculus; 5. The Dubrovnik Polynomial; REFERENCES; Knots, Tangles, and Electrical Networks (with J.R. Goldman); CONTENTS; 1. INTRODUCTION; 2. KNOTS, TANGLES, AND GRAPHS; 3. CLASSICAL ELECTRICITY; 4. MODERN ELECTRICITY-THE CONDUCTANCE INVARIANT. This invaluable book is an introduction to knot and link invariants as generalized 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 a |
| Beschreibung: | 1 Online-Ressource (865 pages) |
| ISBN: | 9789814383028 9814383023 |
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| 500 | |a 5. topology: mirror images, tangles and continued fractions | ||
| 500 | |a Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Preface to the Fourth Edition; Table of Contents; Part 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 VK(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 S L(2}q | ||
| 500 | |a 10. The Form of the Universal R-matrix11. 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; Part II. Knots and Physics -- Miscellany; 1. Theory of Hitches; 2. The Rubber Band and Twisted 1\1be; 3. On a Crossing.; 4. Slide Equivalence | ||
| 500 | |a 5. Unoriented Diagrams and Linking Numbers6. 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 ... . 501 Coda; References; Appendix | ||
| 500 | |a IntroductionGauss Codes, Quantum Groups and Ribbon Hopf Algebras; I. Introduction; II. Knots and the Gauss Code; III. Jordan Curves and Immersed Plane Curves; IV. The Abstract Tensor Model for Link Invariants; V. From Abstract Tensors to Quantum Algebras; VI. From Quantum Algebra to Quantum Groups; VII. Categories; VIII. Invariants of 3-Manifolds; IX. Epilogue; References; Spin Networks, Topology and Discrete Physics; I. Introduction; II. Trees and Four Colors; III. The Temperley Lieb Algebra; IV. Temperley Lieb Recoupling Theory; V. Penrose Spin Networks; VI. Knots and 3-Manifolds | ||
| 500 | |a VII. The Shadow WorldVIII. The Invariants of Ooguri, Crane and Yetter; References; Link Polynomials and a Graphical Calculus (with P. Vogel}; 0. Introduction; 1. Rigid Vertex Isotopy; 2. The Homfty Polynomial; 3. Braids and the Heeke Algebra; 4. Demonstration of Identities in Oriented Graphical Calculus; 5. The Dubrovnik Polynomial; REFERENCES; Knots, Tangles, and Electrical Networks (with J.R. Goldman); CONTENTS; 1. INTRODUCTION; 2. KNOTS, TANGLES, AND GRAPHS; 3. CLASSICAL ELECTRICITY; 4. MODERN ELECTRICITY-THE CONDUCTANCE INVARIANT. | ||
| 500 | |a This invaluable book is an introduction to knot and link invariants as generalized 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 a | ||
| 650 | 4 | |a Knot theory / Congresses | |
| 650 | 7 | |a MATHEMATICS / Topology |2 bisacsh | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Knot polynomials | |
| 650 | 4 | |a Mathematical physics | |
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Datensatz im Suchindex
| _version_ | 1804175459940827136 |
|---|---|
| any_adam_object | |
| author | Kauffman, Louis H. |
| author_facet | Kauffman, Louis H. |
| author_role | aut |
| author_sort | Kauffman, Louis H. |
| author_variant | l h k lh lhk |
| building | Verbundindex |
| bvnumber | BV043074005 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)840254732 (DE-599)BVBBV043074005 |
| dewey-full | 514.2242 514/.224 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.2242 514/.224 514 |
| dewey-search | 514.2242 514/.224 514 |
| dewey-sort | 3514.2242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:16:38Z |
| institution | BVB |
| isbn | 9789814383028 9814383023 |
| language | English |
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| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Kauffman, Louis H. Verfasser aut Knots and Physics Singapore World Scientific Pub. Co. 2012 1 Online-Ressource (865 pages) txt rdacontent c rdamedia cr rdacarrier 5. topology: mirror images, tangles and continued fractions Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Preface to the Fourth Edition; Table of Contents; Part 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 VK(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 S L(2}q 10. The Form of the Universal R-matrix11. 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; Part II. Knots and Physics -- Miscellany; 1. Theory of Hitches; 2. The Rubber Band and Twisted 1\1be; 3. On a Crossing.; 4. Slide Equivalence 5. Unoriented Diagrams and Linking Numbers6. 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 ... . 501 Coda; References; Appendix IntroductionGauss Codes, Quantum Groups and Ribbon Hopf Algebras; I. Introduction; II. Knots and the Gauss Code; III. Jordan Curves and Immersed Plane Curves; IV. The Abstract Tensor Model for Link Invariants; V. From Abstract Tensors to Quantum Algebras; VI. From Quantum Algebra to Quantum Groups; VII. Categories; VIII. Invariants of 3-Manifolds; IX. Epilogue; References; Spin Networks, Topology and Discrete Physics; I. Introduction; II. Trees and Four Colors; III. The Temperley Lieb Algebra; IV. Temperley Lieb Recoupling Theory; V. Penrose Spin Networks; VI. Knots and 3-Manifolds VII. The Shadow WorldVIII. The Invariants of Ooguri, Crane and Yetter; References; Link Polynomials and a Graphical Calculus (with P. Vogel}; 0. Introduction; 1. Rigid Vertex Isotopy; 2. The Homfty Polynomial; 3. Braids and the Heeke Algebra; 4. Demonstration of Identities in Oriented Graphical Calculus; 5. The Dubrovnik Polynomial; REFERENCES; Knots, Tangles, and Electrical Networks (with J.R. Goldman); CONTENTS; 1. INTRODUCTION; 2. KNOTS, TANGLES, AND GRAPHS; 3. CLASSICAL ELECTRICITY; 4. MODERN ELECTRICITY-THE CONDUCTANCE INVARIANT. This invaluable book is an introduction to knot and link invariants as generalized 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 a Knot theory / Congresses MATHEMATICS / Topology bisacsh Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Knoten Mathematik (DE-588)4164314-8 s Physik (DE-588)4045956-1 s 1\p DE-604 Knotentheorie (DE-588)4164318-5 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=533873 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kauffman, Louis H. Knots and Physics Knot theory / Congresses MATHEMATICS / Topology bisacsh Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4164314-8 (DE-588)4164318-5 (DE-588)4045956-1 (DE-588)1071861417 |
| title | Knots and Physics |
| title_auth | Knots and Physics |
| title_exact_search | Knots and Physics |
| title_full | Knots and Physics |
| title_fullStr | Knots and Physics |
| title_full_unstemmed | Knots and Physics |
| title_short | Knots and Physics |
| title_sort | knots and physics |
| topic | Knot theory / Congresses MATHEMATICS / Topology bisacsh Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Knot theory / Congresses MATHEMATICS / Topology Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik Knotentheorie Physik Konferenzschrift |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=533873 |
| work_keys_str_mv | AT kauffmanlouish knotsandphysics |