The geometry of spherical space form groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1989
|
| Schriftenreihe: | Series in pure mathematics
7. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 361 S. |
| ISBN: | 997150927X |
Internformat
MARC
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| 100 | 1 | |a Gilkey, Peter B. |d 1946- |e Verfasser |0 (DE-588)1024266850 |4 aut | |
| 245 | 1 | 0 | |a The geometry of spherical space form groups |c Peter B. Gilkey |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1989 | |
| 300 | |a VIII, 361 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series in pure mathematics |v 7. | |
| 650 | 7 | |a Algèbre Clifford |2 Jussieu | |
| 650 | 7 | |a Analyse globale |2 Jussieu | |
| 650 | 7 | |a Bordisme équivariant |2 Jussieu | |
| 650 | 7 | |a Cohomologie |2 Jussieu | |
| 650 | 7 | |a Forme espace sphérique |2 Jussieu | |
| 650 | 7 | |a Groupes topologiques de transformations |2 ram | |
| 650 | 7 | |a K-Théorie |2 ram | |
| 650 | 7 | |a Opérateur différentiel elliptique |2 Jussieu | |
| 650 | 7 | |a Spineur |2 Jussieu | |
| 650 | 4 | |a K-theory | |
| 650 | 4 | |a Topological transformation groups | |
| 650 | 0 | 7 | |a Clifford-Kleinsche Raumform |0 (DE-588)4228083-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Indextheorem |0 (DE-588)4140055-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sphärischer Raum |0 (DE-588)4228077-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Globale Analysis |0 (DE-588)4021285-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Sphärische Raumformen |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Sphärischer Raum |0 (DE-588)4228077-1 |D s |
| 689 | 0 | 1 | |a Clifford-Kleinsche Raumform |0 (DE-588)4228083-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Sphärische Raumformen |A f |
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| 689 | 2 | 0 | |a Globale Analysis |0 (DE-588)4021285-3 |D s |
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Datensatz im Suchindex
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Contents
Preface v
Chapter One: Partial Differential Operators
§1.0 Introduction 1
§1.1 Spectral Theory of Self Adjoint Elliptic Differential Operators 2
§1.2 Heat Equation, Eta Invariant, and Zeta Functions 11
§1.3 Regularity of the Eta Function at s = 0 25
§1.4 The Eta Invariant of Real Projective Space 38
§1.5 The Eta Invariant of Spherical Space Forms 47
§1.6 The K theory of Real Projective Space 57
§1.7 The Eta Invariant, Dedekind Sums, Rademacher Reciprocity
and the Riemann Roch Theorem 68
Chapter Two: K theory and Cohomology
§2.0 Introduction 81
§2.1 Sylow Subgroups of Spherical Space Form Groups 83
§2.2 Examples of Spherical Space Form Groups 92
§2.3 Cohomology of Lens Spaces 104
§2.4 Cohomology of Quaternion Spherical Space Forms 119
§2.5 K theory of Lens Spaces 131
§2.6 K theory of Quaternion Spherical Space Forms 144
§2.7 The Real and Symplectic K theory of Lens Spaces 153
§2.8 The Real and Symplectic K theory of Other Spherical
Space Forms 164
viii Contents
§2.9 Applications of K theory: Triviality of the Stable Tangent
and Spin Bundles 172
§2.10 Flatness of the Iterated Jet Bundle 184
Chapter Three: Equivariant Bordism
§3.0 Introduction 195
§3.1 The Bordism Rings MF. and the Hattori Stong Theorem 198
§3.2 The Equivariant Bordism Groups 207
§3.3 The Smith Homomorphism 220
§3.4 The Equivariant Bordism of Cyclic Groups 228
§3.5 The Equivariant Unitary Bordism of Quaternion Groups 236
§3.6 Connective K theory 247
§3.7 The Spin0 Bordism of Cyclic 2 Groups 264
§3.8 Pin Bordism 273
§3.9 The Equivariant Sptnc Bordism of Quaternion Groups 282
§3.10 Formal Group Laws 296
Appendix A: Auxiliary Material
§A.O Introduction 305
§A.l Clifford Algebras and Spinors 306
§A.2 The Index Theorem 317
§A.3 Tables 326
§A.4 Calculation of Functors 338
Appendix B: The Additive Structure of MU.(BG)
A. Bahri and M. Bendersky 341
Bibliography 349
Index : 357
|
| any_adam_object | 1 |
| author | Gilkey, Peter B. 1946- |
| author_GND | (DE-588)1024266850 |
| author_facet | Gilkey, Peter B. 1946- |
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| author_sort | Gilkey, Peter B. 1946- |
| author_variant | p b g pb pbg |
| building | Verbundindex |
| bvnumber | BV003556014 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.33 |
| callnumber-search | QA612.33 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 SK 370 SK 620 |
| classification_tum | MAT 552f |
| ctrlnum | (OCoLC)21093809 (DE-599)BVBBV003556014 |
| dewey-full | 516.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3 |
| dewey-search | 516.3 |
| dewey-sort | 3516.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Sphärische Raumformen gnd |
| genre_facet | Sphärische Raumformen |
| id | DE-604.BV003556014 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:01:49Z |
| institution | BVB |
| isbn | 997150927X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002261334 |
| oclc_num | 21093809 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-11 DE-20 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-11 DE-20 |
| physical | VIII, 361 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in pure mathematics |
| series2 | Series in pure mathematics |
| spelling | Gilkey, Peter B. 1946- Verfasser (DE-588)1024266850 aut The geometry of spherical space form groups Peter B. Gilkey Singapore u.a. World Scientific 1989 VIII, 361 S. txt rdacontent n rdamedia nc rdacarrier Series in pure mathematics 7. Algèbre Clifford Jussieu Analyse globale Jussieu Bordisme équivariant Jussieu Cohomologie Jussieu Forme espace sphérique Jussieu Groupes topologiques de transformations ram K-Théorie ram Opérateur différentiel elliptique Jussieu Spineur Jussieu K-theory Topological transformation groups Clifford-Kleinsche Raumform (DE-588)4228083-7 gnd rswk-swf Indextheorem (DE-588)4140055-0 gnd rswk-swf Sphärischer Raum (DE-588)4228077-1 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf Sphärische Raumformen gnd rswk-swf Sphärischer Raum (DE-588)4228077-1 s Clifford-Kleinsche Raumform (DE-588)4228083-7 s DE-604 Sphärische Raumformen f Indextheorem (DE-588)4140055-0 s Globale Analysis (DE-588)4021285-3 s Series in pure mathematics 7. (DE-604)BV000016845 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002261334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gilkey, Peter B. 1946- The geometry of spherical space form groups Series in pure mathematics Algèbre Clifford Jussieu Analyse globale Jussieu Bordisme équivariant Jussieu Cohomologie Jussieu Forme espace sphérique Jussieu Groupes topologiques de transformations ram K-Théorie ram Opérateur différentiel elliptique Jussieu Spineur Jussieu K-theory Topological transformation groups Clifford-Kleinsche Raumform (DE-588)4228083-7 gnd Indextheorem (DE-588)4140055-0 gnd Sphärischer Raum (DE-588)4228077-1 gnd Globale Analysis (DE-588)4021285-3 gnd |
| subject_GND | (DE-588)4228083-7 (DE-588)4140055-0 (DE-588)4228077-1 (DE-588)4021285-3 |
| title | The geometry of spherical space form groups |
| title_auth | The geometry of spherical space form groups |
| title_exact_search | The geometry of spherical space form groups |
| title_full | The geometry of spherical space form groups Peter B. Gilkey |
| title_fullStr | The geometry of spherical space form groups Peter B. Gilkey |
| title_full_unstemmed | The geometry of spherical space form groups Peter B. Gilkey |
| title_short | The geometry of spherical space form groups |
| title_sort | the geometry of spherical space form groups |
| topic | Algèbre Clifford Jussieu Analyse globale Jussieu Bordisme équivariant Jussieu Cohomologie Jussieu Forme espace sphérique Jussieu Groupes topologiques de transformations ram K-Théorie ram Opérateur différentiel elliptique Jussieu Spineur Jussieu K-theory Topological transformation groups Clifford-Kleinsche Raumform (DE-588)4228083-7 gnd Indextheorem (DE-588)4140055-0 gnd Sphärischer Raum (DE-588)4228077-1 gnd Globale Analysis (DE-588)4021285-3 gnd |
| topic_facet | Algèbre Clifford Analyse globale Bordisme équivariant Cohomologie Forme espace sphérique Groupes topologiques de transformations K-Théorie Opérateur différentiel elliptique Spineur K-theory Topological transformation groups Clifford-Kleinsche Raumform Indextheorem Sphärischer Raum Globale Analysis Sphärische Raumformen |
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