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Bibliographic Details
Main Author:	Kauffman, Louis H. 1945- (Author)
Format:	Book
Language:	English
Published:	Princeton, New Jersey Princeton University Press 1987
Series:	Annals of mathematics studies 115
Subjects:	Knopentheorie Noeud, théorie du Nud, Théorie du Knot theory Knoten > Mathematik Knotentheorie
Online Access:	Inhaltsverzeichnis
Physical Description:	xv, 480 Seiten Diagramme
ISBN:	0691084343 0691084351

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Record in the Search Index

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adam_text	CONTENTS PREFACE ix I. INTRODUCTION 3 II. LINKING NUMBERS AND REIDEMEISTER MOVES 9 III. THE CONWAY POLYNOMIAL 19 IV. EXAMPLES AND SKEIN THEORY 42 V. DETECTING SLICES AND RIBBONS, A FIRST PASS. ... 70 VI. MISCELLANY 92 1. Quaternions and Belt Trick 93 2. Rope Trick 98 3. Topological Script 100 4. Calculi 103 5. Infinite Forms 106 6. Quandles 110 7. Topology of DNA 113 8. Knots Are Decorated Fibonacci Trees 115 9. Alhambra Mosaic 120 10. Odd Knot 121 11. Pilar s Family Tree 122 12. The Untwisted Double of the Double of the Figure Eight Knot 123 13. Applied Script—A Ribbon Surface 124 14. Kirkhoff s Matrix Tree Theorem 129 15. States and Trails 132 16. The Map Theorem 147 17. The Mobius Band 152 18. The Generalized Polynomial 155 19. The Generalized Polynomial and Regular Isotopy 163 20. Twisted Bands 179 VII. SPANNING SURFACES AND SEIFERT PAIRING 181 VIII. RIBBONS AND SLICES 208 IX. ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS . . . 229 X. ALEXANDER POLYNOMIAL AND ARF INVARIANT 252 XI. FREE DIFFERENTIAL CALCULUS 262 vii XII. CYCLIC BRANCHED COVERINGS 271 XIII. SIGNATURE THEOREMS 299 XIV. G SIGNATURE THEOREM FOR FOUR MANIFOLDS 327 XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS 332 XVI. AN INVARIANT FOR COVERINGS 337 XVII. SLICE KNOTS 345 XVIII. CALCULATING a FOR GENERALIZED STEVEDORE S . . . KNOTS. . . . r. 355 XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES . . 366 APPENDIX: Generalized Polynomials and a States Model for the Jones Polynomial 417 TABLES: Knot Tables and the L Polynomial 444 REFERENCES 474 viii
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isbn	0691084343 0691084351
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000439363
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physical	xv, 480 Seiten Diagramme
publishDate	1987
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series	Annals of mathematics studies
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spelling	Kauffman, Louis H. 1945- (DE-588)134212614 aut On knots by Louis H. Kauffman Princeton, New Jersey Princeton University Press 1987 xv, 480 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 115 Knopentheorie gtt Noeud, théorie du ram Nud, Théorie du Knot theory Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s DE-604 Knoten Mathematik (DE-588)4164314-8 s Erscheint auch als Online-Ausgabe 978-1-4008-8213-7 Annals of mathematics studies 115 (DE-604)BV000000991 115 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000439363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kauffman, Louis H. 1945- On knots Annals of mathematics studies Knopentheorie gtt Noeud, théorie du ram Nud, Théorie du Knot theory Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd
subject_GND	(DE-588)4164314-8 (DE-588)4164318-5
title	On knots
title_auth	On knots
title_exact_search	On knots
title_full	On knots by Louis H. Kauffman
title_fullStr	On knots by Louis H. Kauffman
title_full_unstemmed	On knots by Louis H. Kauffman
title_short	On knots
title_sort	on knots
topic	Knopentheorie gtt Noeud, théorie du ram Nud, Théorie du Knot theory Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd
topic_facet	Knopentheorie Noeud, théorie du Nud, Théorie du Knot theory Knoten Mathematik Knotentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000439363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000991
work_keys_str_mv	AT kauffmanlouish onknots

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