Functorial knot theory: categories of tangles, coherence, categorical deformations and topological invariants
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
2001
|
| Series: | Series on knots and everything
26 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 230 S. graph. Darst. |
| ISBN: | 9810244436 |
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Record in the Search Index
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|---|---|
| adam_text | K(XE SERIES ON KNOTS AND EVERYTHING * VOL. 26 FUNCTORIAL KNOT THEORY
CATEGORIES OF TANGLES, COHERENCE, CATEGORICAL DEFORMATIONS, AND
TOPOLOGICAL INVARIANTS DAVID N. YETTER DEPARTMENT OF MATHEMATICS KANSAS
STATE UNIVERSITY WORLD SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON * HONG
KONG CONTENTS ACKNOWLEDGEMENTS 1 1. INTRODUCTION 7 I KNOTS AND
CATEGORIES 2. BASIC CONCEPTS 13 2.1 KNOTS 14 2.2 CATEGORIES 26 3.
MONOIDAL CATEGORIES, FUNCTORS AND NATURAL TRANSFORMATIONS 39 4. A
DIGRESSION ON ALGEBRAS 61 5. MORE ABOUT MONOIDAL CATEGORIES 71 6. KNOT
POLYNOMIALS 83 7. CATEGORIES OF TANGLES 87 8. SMOOTH TANGLES AND PL
TANGLES 97 9. SHUM S THEOREM 117 10. A LITTLE ENRICHED CATEGORY THEORY
131 4 FUNCTORIAL KNOT THEORY II DEFORMATIONS 11. INTRODUCTION 12.
DEFINITIONS 13. DEFORMATION COMPLEXES OF SEMIGROUPAL CATEGORIES AND
FUNCTORS 14. SOME USEFUL COCHAIN MAPS 15. FIRST ORDER DEFORMATIONS 16.
OBSTRUCTIONS AND CUP PRODUCT AND PRE-LIE STRUCTURES ONX*(F) 159 17.
UNITS 175 18. EXTRINSIC DEFORMATIONS OF MONOIDAL CATEGORIES 181 19.
VASSILIEV INVARIANTS, FRAMED AND UNFRAMED 185 20. VASSILIEV THEORY IN
CHARACTERISTIC 2 201 21. CATEGORICAL DEFORMATIONS AS PROPER
GENERALIZATIONS OF CLASSICAL NOTIONS 209 22. OPEN QUESTIONS 213 22.1
FUNCTORIAL KNOT THEORY 213 22.2 DEFORMATION THEORY 214 BIBLIOGRAPHY 219
INDEX 225
|
| any_adam_object | 1 |
| author | Yetter, David N. |
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| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013736638 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:51:06Z |
| institution | BVB |
| isbn | 9810244436 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009389213 |
| oclc_num | 248353914 |
| open_access_boolean | |
| owner | DE-739 DE-11 DE-188 DE-19 DE-BY-UBM |
| owner_facet | DE-739 DE-11 DE-188 DE-19 DE-BY-UBM |
| physical | 230 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on knots and everything |
| series2 | Series on knots and everything |
| spelling | Yetter, David N. Verfasser aut Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants David N. Yetter Singapore [u.a.] World Scientific 2001 230 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on knots and everything 26 Categories (Mathematics) Functor theory Funktor Kategorie <Mathematik> Knot theory Knotentheorie Monoidale Kategorie Series on knots and everything 26 (DE-604)BV004608347 26 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009389213&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yetter, David N. Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants Series on knots and everything Categories (Mathematics) Functor theory Funktor Kategorie <Mathematik> Knot theory Knotentheorie Monoidale Kategorie |
| title | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants |
| title_auth | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants |
| title_exact_search | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants |
| title_full | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants David N. Yetter |
| title_fullStr | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants David N. Yetter |
| title_full_unstemmed | Functorial knot theory categories of tangles, coherence, categorical deformations and topological invariants David N. Yetter |
| title_short | Functorial knot theory |
| title_sort | functorial knot theory categories of tangles coherence categorical deformations and topological invariants |
| title_sub | categories of tangles, coherence, categorical deformations and topological invariants |
| topic | Categories (Mathematics) Functor theory Funktor Kategorie <Mathematik> Knot theory Knotentheorie Monoidale Kategorie |
| topic_facet | Categories (Mathematics) Functor theory Funktor Kategorie <Mathematik> Knot theory Knotentheorie Monoidale Kategorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009389213&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004608347 |
| work_keys_str_mv | AT yetterdavidn functorialknottheorycategoriesoftanglescoherencecategoricaldeformationsandtopologicalinvariants |