Invariants of boundary link cobordism:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
784 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 165, number 784 (first of 4 numbers)." |
| Beschreibung: | IX, 110 S. |
| ISBN: | 0821833405 |
Internformat
MARC
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| 245 | 1 | 0 | |a Invariants of boundary link cobordism |c Desmond Sheiham |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2003 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 784 | |
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| 650 | 4 | |a Knot theory | |
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Datensatz im Suchindex
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| adam_text | Contents
Acknowledgements ix
Chapter 1. Introduction 1
1. Isotopy and Cobordism; the Link 2
2. Knot Theory 3
3. Boundary Links 4
4. Surgery Obstructions 7
5. Algebraic i^ link Cobordism 13
Chapter 2. Main Results 17
1. Signatures 18
2. Number Theory 21
3. Denning Invariants 22
4. Chapter Summaries 27
Chapter 3. Preliminaries 29
1. Representations 29
2. Grothendieck Groups 31
3. Witt Groups 32
4. Seifert Forms 37
Chapter 4. Morita Equivalence 41
1. Linear Morita Equivalence 42
2. Hermitian Morita equivalence 43
Chapter 5. Devissage 47
Chapter 6. Varieties of Representations 51
1. Existence of Simple Representations 52
2. Semisimple Representations of Quivers 53
3. Self Dual Representations 54
Chapter 7. Generalizing Pfister s Theorem 59
1. Artin Schreier Theory 59
2. Frobenius reciprocity 61
3. Proof of Theorem 7.7 62
Chapter 8. Characters 63
1. Artin algebras 63
vi CONTENTS
2. Independence of Characters 64
Chapter 9. Detecting Rationality and Integrality 67
1. Rationality 67
2. Integrality 72
Chapter 10. Representation Varieties: Two Examples 75
1. Dimension (1,1) 75
2. Dimension (2,1) 77
Chapter 11. Number Theory Invariants 81
1. Division Algebras over Q 82
2. Witt Invariants 84
3. Localization Exact Sequence 88
Chapter 12. All Division Algebras Occur 91
1. Proof of Proposition 12.1 92
2. Proof of Proposition 12.2 93
3. Computation of C2q i(FIJ,) up to Isomorphism 96
Appendix I. Primitive Element Theorems 99
Appendix II. Hermitian Categories 101
1. Functors 101
2. Duality Preserving Functors 102
Bibliography 105
Index 109
|
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:14:09Z |
| institution | BVB |
| isbn | 0821833405 |
| language | English |
| lccn | 2003051903 |
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| physical | IX, 110 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Sheiham, Desmond 1974- Verfasser (DE-588)173638104 aut Invariants of boundary link cobordism Desmond Sheiham Providence, R.I. American Mathematical Society 2003 IX, 110 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 784 "Volume 165, number 784 (first of 4 numbers)." Cobordisme gtt K-theorie gtt Knopentheorie gtt Cobordism theory K-theory Knot theory Memoirs of the American Mathematical Society 784 (DE-604)BV008000141 784 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010331270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sheiham, Desmond 1974- Invariants of boundary link cobordism Memoirs of the American Mathematical Society Cobordisme gtt K-theorie gtt Knopentheorie gtt Cobordism theory K-theory Knot theory |
| title | Invariants of boundary link cobordism |
| title_auth | Invariants of boundary link cobordism |
| title_exact_search | Invariants of boundary link cobordism |
| title_full | Invariants of boundary link cobordism Desmond Sheiham |
| title_fullStr | Invariants of boundary link cobordism Desmond Sheiham |
| title_full_unstemmed | Invariants of boundary link cobordism Desmond Sheiham |
| title_short | Invariants of boundary link cobordism |
| title_sort | invariants of boundary link cobordism |
| topic | Cobordisme gtt K-theorie gtt Knopentheorie gtt Cobordism theory K-theory Knot theory |
| topic_facet | Cobordisme K-theorie Knopentheorie Cobordism theory K-theory Knot theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010331270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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