Knots and physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2001
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | Series on knots and everything
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XVI, 770 S. Ill., graph. Darst. |
| ISBN: | 9810241119 9810241127 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804129213995810816 |
|---|---|
| adam_text | KNOTS AND PHYSICS THIRD EDITION LOUIS H. KAUFFMAN DEPARTMENT OF
MATHEMATICS STATISTICS AND COMPUTER SCIENCE UNIVERSITY OF ILLINOIS AT
CHICAGO WORLD SCIENTIFIC SINGAPORE * NEW JERSEY LONDON * HONG KONG TABLE
OF CONTENTS PREFACE TO THE FIRST EDITION VII PREFACE TO THE SECOND
EDITION XI PREFACE TO THE THIRD EDITION XIII PART I. A SHORT COURSE OF
KNOTS AND PHYSICS 1. PHYSICAL KNOTS 4 2. DIAGRAMS AND MOVES 8 3. STATES
AND THE BRACKET POLYNOMIAL 25 4. ALTERNATING LINKS AND CHECKERBOARD
SURFACES 39 5. THE JONES POLYNOMIAL AND ITS GENERALIZATIONS 49 6. AN
ORIENTED STATE MODEL FOR V K (T) 74 7. BRAIDS AND THE JONES POLYNOMIAL
85 8. ABSTRACT TENSORS AND THE YANG-BAXTER EQUATION 104 9. FORMAL
FEYNMAN DIAGRAMS, BRACKET AS A VACUUM-VACUUM EXPECTATION AND THE QUANTUM
GROUP SL(2)Q 117 10. THE FORM OF THE UNIVERSAL FL-MATRIX 148 11.
YANG-BAXTER MODELS FOR SPECIALIZATIONS OF THE HOMFLY POLYNOMIAL . . 161
12. THE ALEXANDER POLYNOMIAL 174 13. KNOT-CRYSTALS - CLASSICAL KNOT
THEORY IN A MODERN GUISE 186 14. THE KAUFFMAN POLYNOMIAL 215 15.
ORIENTED MODELS AND PIECEWISE LINEAR MODELS 235 16. THREE MANIFOLD
INVARIANTS FROM THE JONES POLYNOMIAL 250 17. INTEGRAL HEURISTICS AND
WITTEN S INVARIANTS 285 18. APPENDIX - SOLUTIONS TO THE YANG-BAXTER
EQUATION 316 PART II. KNOTS AND PHYSICS * MISCELLANY 1. THEORY OF
HITCHES 323 2. THE RUBBER BAND AND TWISTED TUBE 329 3. ON A CROSSING 332
4. SLIDE EQUIVALENCE 336 5. UNORIENTED DIAGRAMS AND LINKING NUMBERS 339
6. THE PENROSE CHROMATIC RECURSION 346 7. THE CHROMATIC POLYNOMIAL 353
8. THE POTTS MODEL AND THE DICHROMATIC POLYNOMIAL 364 XVI 9.
PRELIMINARIES FOR QUANTUM MECHANICS, SPIN NETWORKS AND ANGULAR MOMENTUM
381 10. QUATERNIONS, CAYLEY NUMBERS AND THE BELT TRICK 403 11. THE
QUATERNION DEMONSTRATOR 427 12. THE PENROSE THEORY OF SPIN NETWORKS 443
13. 2-SPIN NETWORKS AND THE MAGIC WEAVE 459 14. KNOTS AND STRINGS -
KNOTTED STRINGS 475 15. DNA AND QUANTUM FIELD THEORY 488 16. KNOTS IN
DYNAMICAL SYSTEMS - THE LORENZ ATTRACTOR 501 CODA 511 REFERENCES 513
INDEX 531 APPENDIX INTRODUCTION 541 GAUSS CODES, QUANTUM GROUPS AND
RIBBON HOPF ALGEBRAS 551 SPIN NETWORKS, TOPOLOGY AND DISCRETE PHYSICS
597 LINK POLYNOMIALS AND A GRAPHICAL CALCULUS 638 (WITH P. VOGEL) KNOTS,
TANGLES, AND ELECTRICAL NETWORKS 684 (WITH J. R. GOLDMAN) KNOT THEORY
AND FUNCTIONAL INTEGRATION 724
|
| any_adam_object | 1 |
| author | Kauffman, Louis H. 1945- |
| author_GND | (DE-588)134212614 |
| author_facet | Kauffman, Louis H. 1945- |
| author_role | aut |
| author_sort | Kauffman, Louis H. 1945- |
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| building | Verbundindex |
| bvnumber | BV014315791 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.K56 |
| callnumber-search | QC20.7.K56 |
| callnumber-sort | QC 220.7 K56 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 300 |
| ctrlnum | (OCoLC)48475562 (DE-599)BVBBV014315791 |
| dewey-full | 514.224 514/.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.224 514/.224 |
| dewey-search | 514.224 514/.224 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV014315791 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:01:34Z |
| institution | BVB |
| isbn | 9810241119 9810241127 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009821278 |
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| physical | XVI, 770 S. Ill., graph. Darst. |
| publishDate | 2001 |
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| publisher | World Scientific |
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| series | Series on knots and everything |
| series2 | Series on knots and everything |
| spelling | Kauffman, Louis H. 1945- Verfasser (DE-588)134212614 aut Knots and physics Louis H. Kauffman 3. ed. Singapore [u.a.] World Scientific 2001 XVI, 770 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on knots and everything 1 Hier auch später erschienene, unveränderte Nachdrucke Physique mathématique Polynômes des nuds Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Knoten Mathematik (DE-588)4164314-8 s Physik (DE-588)4045956-1 s DE-604 Knotentheorie (DE-588)4164318-5 s 2\p DE-604 Series on knots and everything 1 (DE-604)BV004608347 1 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009821278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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. 1945- Knots and physics Series on knots and everything Physique mathématique Polynômes des nuds Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd Physik (DE-588)4045956-1 gnd Knotentheorie (DE-588)4164318-5 gnd |
| subject_GND | (DE-588)4164314-8 (DE-588)4045956-1 (DE-588)4164318-5 (DE-588)1071861417 |
| title | Knots and physics |
| title_auth | Knots and physics |
| title_exact_search | Knots and physics |
| title_full | Knots and physics Louis H. Kauffman |
| title_fullStr | Knots and physics Louis H. Kauffman |
| title_full_unstemmed | Knots and physics Louis H. Kauffman |
| title_short | Knots and physics |
| title_sort | knots and physics |
| topic | Physique mathématique Polynômes des nuds Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik (DE-588)4164314-8 gnd Physik (DE-588)4045956-1 gnd Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Physique mathématique Polynômes des nuds Mathematische Physik Knot polynomials Mathematical physics Knoten Mathematik Physik Knotentheorie Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009821278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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