Topological modular forms:
Gespeichert in:
| Weitere Verfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2014]
|
| Schriftenreihe: | Mathematical surveys and monographs
Volume 201 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xxxi, 318 Seiten Illustrationen, Diagramme |
| ISBN: | 9781470418847 |
Internformat
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| 245 | 1 | 0 | |a Topological modular forms |c Christopher L. Douglas, John Francis, André G. Henriques, Michael A. Hill, editors |
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| 650 | 7 | |a Algebraic topology ... Homology and cohomology theories ... Other homology theories |2 msc | |
| 650 | 7 | |a Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws |2 msc | |
| 650 | 4 | |a Manifolds and cell complexes ... Differential topology ... Complex cobordism ( / 2msc | |
| 650 | 7 | |a Algebraic topology ... Spectral sequences ... General |2 msc | |
| 650 | 7 | |a Algebraic topology ... Spectral sequences ... Adams spectral sequences |2 msc | |
| 650 | 7 | |a Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology |2 msc | |
| 650 | 7 | |a Algebraic geometry ... Curves ... Elliptic curves |2 msc | |
| 650 | 7 | |a Algebraic geometry ... Families, fibrations ... Stacks and moduli problems |2 msc | |
| 650 | 4 | |a Topological fields | |
| 650 | 4 | |a Algebraic fields | |
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| 650 | 4 | |a Algebraic topology ... Homology and cohomology theories ... Other homology theories | |
| 650 | 4 | |a Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws | |
| 650 | 4 | |a Manifolds and cell complexes ... Differential topology ... Complex cobordism ( | |
| 650 | 4 | |a Algebraic topology ... Spectral sequences ... General | |
| 650 | 4 | |a Algebraic topology ... Spectral sequences ... Adams spectral sequences | |
| 650 | 4 | |a Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology | |
| 650 | 4 | |a Algebraic geometry ... Curves ... Elliptic curves | |
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Datensatz im Suchindex
| _version_ | 1804152931411296256 |
|---|---|
| adam_text | Titel: Topological modular forms
Autor: Douglas, Christopher L
Jahr: 2014
Contents
Preface and Acknowledgments viii
Introduction xi
Part I 1
1. Elliptic genera and elliptic cohomology
CORBETT REDDEN 3
2. Elliptic curves and modular forms
Carl Mautner 17
3. The moduli stack of elliptic curves
Andre G. Henriques 25
4. The Landweber exact functor theorem
Henning Hohnhold 35
5. Sheaves in homotopy theory
Christopher L. Douglas 47
6. Bousfield localization and the Hasse Square
Tilman Bauer 79
7. The local structure of the moduli stack of formal groups
Jacob Lurie 89
8. Goerss-Hopkins obstruction theory
Vigleik Angeltveit 93
9. From spectra to stacks
after Michael J. Hopkins 99
10. The string orientation
after Michael J. Hopkins 109
11. The sheaf of Eoo-ring spectra
after Michael J. Hopkins 125
12. The construction of traf
Mark Behrens 131
13. The homotopy groups of tmf and of its localizations
Andre G. Henriques 189
V
vi
CONTENTS
Part II 207
Elliptic curves and stable homotopy I
Michael J. Hopkins and Haynes R. Miller 209
From elliptic curves to homotopy theory
Michael J. Hopkins and Mark Mahowald 261
RT(l)-local Eoo-ring spectra
Michael J. Hopkins 287
Glossary 303
|
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| id | DE-604.BV042328019 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:18:33Z |
| institution | BVB |
| isbn | 9781470418847 |
| language | English |
| lccn | 014029076 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027764828 |
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| physical | xxxi, 318 Seiten Illustrationen, Diagramme |
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| publisher | American Mathematical Society |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Topological modular forms Christopher L. Douglas, John Francis, André G. Henriques, Michael A. Hill, editors Providence, Rhode Island American Mathematical Society [2014] © 2014 xxxi, 318 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 201 Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology msc Algebraic topology ... Homology and cohomology theories ... Other homology theories msc Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws msc Manifolds and cell complexes ... Differential topology ... Complex cobordism ( / 2msc Algebraic topology ... Spectral sequences ... General msc Algebraic topology ... Spectral sequences ... Adams spectral sequences msc Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology msc Algebraic geometry ... Curves ... Elliptic curves msc Algebraic geometry ... Families, fibrations ... Stacks and moduli problems msc Topological fields Algebraic fields Curves, Elliptic Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology Algebraic topology ... Homology and cohomology theories ... Other homology theories Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws Manifolds and cell complexes ... Differential topology ... Complex cobordism ( Algebraic topology ... Spectral sequences ... General Algebraic topology ... Spectral sequences ... Adams spectral sequences Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology Algebraic geometry ... Curves ... Elliptic curves Algebraic geometry ... Families, fibrations ... Stacks and moduli problems Modulform (DE-588)4128299-1 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s Modulform (DE-588)4128299-1 s DE-604 Douglas, Christopher L. (DE-588)1066804842 edt Francis, John edt Henriques, André G. (DE-588)1185686126 edt Hill, Michael A. 1980- (DE-588)1237728525 edt Erscheint auch als Online-Ausgabe 978-1-4704-2002-4 Mathematical surveys and monographs Volume 201 (DE-604)BV000018014 201 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027764828&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Topological modular forms Mathematical surveys and monographs Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology msc Algebraic topology ... Homology and cohomology theories ... Other homology theories msc Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws msc Manifolds and cell complexes ... Differential topology ... Complex cobordism ( / 2msc Algebraic topology ... Spectral sequences ... General msc Algebraic topology ... Spectral sequences ... Adams spectral sequences msc Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology msc Algebraic geometry ... Curves ... Elliptic curves msc Algebraic geometry ... Families, fibrations ... Stacks and moduli problems msc Topological fields Algebraic fields Curves, Elliptic Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology Algebraic topology ... Homology and cohomology theories ... Other homology theories Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws Manifolds and cell complexes ... Differential topology ... Complex cobordism ( Algebraic topology ... Spectral sequences ... General Algebraic topology ... Spectral sequences ... Adams spectral sequences Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology Algebraic geometry ... Curves ... Elliptic curves Algebraic geometry ... Families, fibrations ... Stacks and moduli problems Modulform (DE-588)4128299-1 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4014487-2 |
| title | Topological modular forms |
| title_auth | Topological modular forms |
| title_exact_search | Topological modular forms |
| title_full | Topological modular forms Christopher L. Douglas, John Francis, André G. Henriques, Michael A. Hill, editors |
| title_fullStr | Topological modular forms Christopher L. Douglas, John Francis, André G. Henriques, Michael A. Hill, editors |
| title_full_unstemmed | Topological modular forms Christopher L. Douglas, John Francis, André G. Henriques, Michael A. Hill, editors |
| title_short | Topological modular forms |
| title_sort | topological modular forms |
| topic | Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology msc Algebraic topology ... Homology and cohomology theories ... Other homology theories msc Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws msc Manifolds and cell complexes ... Differential topology ... Complex cobordism ( / 2msc Algebraic topology ... Spectral sequences ... General msc Algebraic topology ... Spectral sequences ... Adams spectral sequences msc Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology msc Algebraic geometry ... Curves ... Elliptic curves msc Algebraic geometry ... Families, fibrations ... Stacks and moduli problems msc Topological fields Algebraic fields Curves, Elliptic Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology Algebraic topology ... Homology and cohomology theories ... Other homology theories Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws Manifolds and cell complexes ... Differential topology ... Complex cobordism ( Algebraic topology ... Spectral sequences ... General Algebraic topology ... Spectral sequences ... Adams spectral sequences Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology Algebraic geometry ... Curves ... Elliptic curves Algebraic geometry ... Families, fibrations ... Stacks and moduli problems Modulform (DE-588)4128299-1 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | Algebraic topology ... Homology and cohomology theories ... Elliptic cohomology Algebraic topology ... Homology and cohomology theories ... Other homology theories Algebraic topology ... Homology and cohomology theories ... Bordism and cobordism theories, formal group laws Manifolds and cell complexes ... Differential topology ... Complex cobordism ( / 2msc Algebraic topology ... Spectral sequences ... General Algebraic topology ... Spectral sequences ... Adams spectral sequences Category theory; homological algebra ... Homological algebra ... Spectral sequences, hypercohomology Algebraic geometry ... Curves ... Elliptic curves Algebraic geometry ... Families, fibrations ... Stacks and moduli problems Topological fields Algebraic fields Curves, Elliptic Manifolds and cell complexes ... Differential topology ... Complex cobordism ( Modulform Elliptische Kurve |
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