On knots:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Princeton, New Jersey
Princeton University Press
1987
|
Schriftenreihe: | Annals of mathematics studies
115 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | xv, 480 Seiten Diagramme |
ISBN: | 0691084343 0691084351 |
Internformat
MARC
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100 | 1 | |a Kauffman, Louis H. |d 1945- |0 (DE-588)134212614 |4 aut | |
245 | 1 | 0 | |a On knots |c by Louis H. Kauffman |
264 | 1 | |a Princeton, New Jersey |b Princeton University Press |c 1987 | |
300 | |a xv, 480 Seiten |b Diagramme | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Annals of mathematics studies |v 115 | |
650 | 7 | |a Knopentheorie |2 gtt | |
650 | 7 | |a Noeud, théorie du |2 ram | |
650 | 4 | |a Nud, Théorie du | |
650 | 4 | |a Knot theory | |
650 | 0 | 7 | |a Knoten |g Mathematik |0 (DE-588)4164314-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Knotentheorie |0 (DE-588)4164318-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
_version_ | 1804115153012129792 |
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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
|
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- |
author_variant | l h k lh lhk |
building | Verbundindex |
bvnumber | BV000703859 |
callnumber-first | Q - Science |
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callnumber-raw | QA612.2 |
callnumber-search | QA612.2 |
callnumber-sort | QA 3612.2 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 830 SK 300 |
classification_tum | MAT 752f |
ctrlnum | (OCoLC)15485491 (DE-599)BVBBV000703859 |
dewey-full | 514/.224 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514/.224 |
dewey-search | 514/.224 |
dewey-sort | 3514 3224 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV000703859 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T15:18:05Z |
institution | BVB |
isbn | 0691084343 0691084351 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000439363 |
oclc_num | 15485491 |
open_access_boolean | |
owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-739 DE-355 DE-BY-UBR DE-20 DE-29T DE-19 DE-BY-UBM DE-703 DE-83 DE-188 DE-11 |
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physical | xv, 480 Seiten Diagramme |
publishDate | 1987 |
publishDateSearch | 1987 |
publishDateSort | 1987 |
publisher | Princeton University Press |
record_format | marc |
series | Annals of mathematics studies |
series2 | Annals of mathematics studies |
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 |