The Reidemeister torsion of 3-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
de Gruyter
2003
|
| Series: | De Gruyter studies in mathematics
30 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 239 - 244 |
| Physical Description: | XIV, 249 S. graph. Darst. |
| ISBN: | 3110173832 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Introduction vii
Notations and conventions xi
1 Algebraic preliminaries 1
§1.1 The torsion of acyclic complexes of vector spaces 1
§1.2 The determinant line of a chain complex 7
§1.3 Basic properties of the torsion 16
§ 1.4 Some generalizations 20
§1.5 Abelian group algebras 21
§1.6 Abelian harmonic analysis 30
2 The Reidemeister torsion 44
§2.1 The Reidemeister torsion of a CW complex 44
§2.2 Fitting ideals 59
§2.3 The Alexander function and the Reidemeister torsion 63
§2.4 The Reidemeister torsion of 3 manifolds 67
§2.5 Computing the torsion of 3 manifolds using surgery presentations . . 70
§2.6 Plumbings 83
§2.7 Applications 102
3 Turaev s refined torsion 106
§3.1 Combinatorial Euler structures 106
§3.2 Smooth Euler structures 108
§3.3 U(2) andSpinc(3) 115
§3.4 Euler structures on 3 manifolds 120
§3.5 The Reidemeister Turaev torsion of Euler structures 126
§3.6 Arithmetic properties of the Reidemeister Turaev torsion
of 3 manifolds 127
§3.7 Axiomatic description of the Reidemeister Turaev torsion
of 3 manifolds 131
§3.8 The torsion of rational homology 3 spheres. Parti 135
§3.9 Quadratic functions, spinc structures and charges 148
§3.10 The torsion of rational homology 3 spheres. Part 2 164
4 Alternative interpretations of the Reidemeister torsion 174
§4.1 A gauge theoretic interpretation: Seiberg Witten invariants 174
§4.2 A Morse theoretic interpretation 187
§4.3 A spectral interpretation: the Ray Singer analytic torsion 193
xiv Contents
A Algebra 197
§A.l Formal Hodge theory 197
§A.2 Determinants and zeta functions 202
§A.3 Extensions of Abelian groups 205
B Topology 210
§B.l How to compute the Alexander polynomial of a knot 210
§B.2 Dehn surgery and linking forms 216
Bibliography 239
Symbols 245
Index 247
|
| any_adam_object | 1 |
| author | Nicolaescu, Liviu I. 1964- |
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| author_facet | Nicolaescu, Liviu I. 1964- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 300 |
| ctrlnum | (OCoLC)51178348 (DE-599)BVBBV016881144 |
| dewey-full | 514/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.3 |
| dewey-search | 514/.3 |
| dewey-sort | 3514 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV016881144 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:12:09Z |
| institution | BVB |
| isbn | 3110173832 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010241397 |
| oclc_num | 51178348 |
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| physical | XIV, 249 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | de Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Nicolaescu, Liviu I. 1964- Verfasser (DE-588)124402887 aut The Reidemeister torsion of 3-manifolds Liviu I. Nicolaescu Berlin [u.a.] de Gruyter 2003 XIV, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 30 Literaturverz. S. 239 - 244 Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd rswk-swf Reidemeister-Torsion (DE-588)4517583-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Reidemeister-Torsion (DE-588)4517583-4 s Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s DE-604 De Gruyter studies in mathematics 30 (DE-604)BV000005407 30 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010241397&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nicolaescu, Liviu I. 1964- The Reidemeister torsion of 3-manifolds De Gruyter studies in mathematics Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Reidemeister-Torsion (DE-588)4517583-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4321722-9 (DE-588)4517583-4 (DE-588)4037379-4 |
| title | The Reidemeister torsion of 3-manifolds |
| title_auth | The Reidemeister torsion of 3-manifolds |
| title_exact_search | The Reidemeister torsion of 3-manifolds |
| title_full | The Reidemeister torsion of 3-manifolds Liviu I. Nicolaescu |
| title_fullStr | The Reidemeister torsion of 3-manifolds Liviu I. Nicolaescu |
| title_full_unstemmed | The Reidemeister torsion of 3-manifolds Liviu I. Nicolaescu |
| title_short | The Reidemeister torsion of 3-manifolds |
| title_sort | the reidemeister torsion of 3 manifolds |
| topic | Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Reidemeister-Torsion (DE-588)4517583-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Reidemeister torsion Three-manifolds (Topology) Dimension 3 Reidemeister-Torsion Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010241397&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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