Extending intersection homology type invariants to non-Witt spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
760 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 160, number 760 (second of 5 numbers)." Includes bibliographical references |
| Beschreibung: | IX, 83 S. |
| ISBN: | 0821829882 |
Internformat
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| 245 | 1 | 0 | |a Extending intersection homology type invariants to non-Witt spaces |c Markus Banagl |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a IX, 83 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 760 | |
| 500 | |a "Volume 160, number 760 (second of 5 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
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| 650 | 7 | |a Topologie |2 gtt | |
| 650 | 7 | |a VARIEDADES TOPOLOGICAS DE DIMENSÃO 4 |2 larpcal | |
| 650 | 4 | |a Duality theory (Mathematics) | |
| 650 | 4 | |a Intersection homology theory | |
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| 650 | 0 | 7 | |a Schnitttheorie |0 (DE-588)4179890-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Homologietheorie |0 (DE-588)4141714-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804129326899134464 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1. History 1
2. Motivation 1
3. The Main Result: A Postnikov System of Lagrangian Structures 2
4. Consequences: Characteristic Classes 4
5. Ordered Resolutions — A Model Construction 5
6. Applications 6
7. Further Developments 7
8. Sign Questions 7
9. Some Remarks on Coefficients 7
10. Acknowledgments 8
11. Notation 8
Chapter 2. The Algebraic Framework 9
1. The Lifting Obstruction 9
2. The Category of Self Dual Sheaves Compatible with IH 11
3. Lagrangian Structures 18
4. Extracting Lagrangian Structures from Self Dual Sheaves 21
5. Lagrangian Structures as Building Blocks for Self Dual Sheaves 28
6. A Postnikov system 41
Chapter 3. Ordered Resolutions 49
1. The Purpose of the Construction 49
2. Definitions 49
3. The PL Construction 51
4. Inductive Singularization of a Manifold 57
Chapter 4. The Cobordism Group fifD 59
1. The Closed Objects 59
2. The Admissible Cobordisms 60
3. The Cobordism Invariance of a 62
4. Relation to Witt Space Cobordism 65
Chapter 5. Lagrangian Structures and Ordered Resolutions 68
1. Statement of Result 68
2. The inductive set up 68
3. Construction of a nonsingular pairing on Hfc(j*S#) 70
4. Stalks of Hfr(j*S*) as the hypercohomology of the link of E 71
5. The restriction of L (X{m)) to V(x) is self dual 73
6. The construction of a Lagrangian subsheaf of HA (j*S*) 74
vii
viii CONTENTS
7. The definition of L*(X(m+1)) 76
Appendix A. On Signs 77
Bibliography 83
|
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| dewey-full | 514/.23 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
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| id | DE-604.BV014547952 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:22Z |
| institution | BVB |
| isbn | 0821829882 |
| language | English |
| lccn | 2002074586 |
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| physical | IX, 83 S. |
| publishDate | 2002 |
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| series2 | Memoirs of the American Mathematical Society |
| spelling | Banagl, Markus 1971- Verfasser (DE-588)132548232 aut Extending intersection homology type invariants to non-Witt spaces Markus Banagl Providence, RI American Mathematical Society 2002 IX, 83 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 760 "Volume 160, number 760 (second of 5 numbers)." Includes bibliographical references HOMOLOGIA (TOPOLOGIA ALGÉBRICA) larpcal Topologie gtt VARIEDADES TOPOLOGICAS DE DIMENSÃO 4 larpcal Duality theory (Mathematics) Intersection homology theory Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf Schnitttheorie (DE-588)4179890-9 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Schnitttheorie (DE-588)4179890-9 s Homologietheorie (DE-588)4141714-8 s Dualitätstheorie (DE-588)4150801-4 s DE-604 American Mathematical Society Memoirs of the American Mathematical Society 760 (DE-604)BV008000141 760 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009892089&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Banagl, Markus 1971- Extending intersection homology type invariants to non-Witt spaces HOMOLOGIA (TOPOLOGIA ALGÉBRICA) larpcal Topologie gtt VARIEDADES TOPOLOGICAS DE DIMENSÃO 4 larpcal Duality theory (Mathematics) Intersection homology theory Dualitätstheorie (DE-588)4150801-4 gnd Schnitttheorie (DE-588)4179890-9 gnd Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4150801-4 (DE-588)4179890-9 (DE-588)4141714-8 |
| title | Extending intersection homology type invariants to non-Witt spaces |
| title_auth | Extending intersection homology type invariants to non-Witt spaces |
| title_exact_search | Extending intersection homology type invariants to non-Witt spaces |
| title_full | Extending intersection homology type invariants to non-Witt spaces Markus Banagl |
| title_fullStr | Extending intersection homology type invariants to non-Witt spaces Markus Banagl |
| title_full_unstemmed | Extending intersection homology type invariants to non-Witt spaces Markus Banagl |
| title_short | Extending intersection homology type invariants to non-Witt spaces |
| title_sort | extending intersection homology type invariants to non witt spaces |
| topic | HOMOLOGIA (TOPOLOGIA ALGÉBRICA) larpcal Topologie gtt VARIEDADES TOPOLOGICAS DE DIMENSÃO 4 larpcal Duality theory (Mathematics) Intersection homology theory Dualitätstheorie (DE-588)4150801-4 gnd Schnitttheorie (DE-588)4179890-9 gnd Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | HOMOLOGIA (TOPOLOGIA ALGÉBRICA) Topologie VARIEDADES TOPOLOGICAS DE DIMENSÃO 4 Duality theory (Mathematics) Intersection homology theory Dualitätstheorie Schnitttheorie Homologietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009892089&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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