Global homotopy theory:
Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equiva...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schriftenreihe: | New mathematical monographs
34 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 TUM01 TUM02 UBA01 Volltext |
| Zusammenfassung: | Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 31 Aug 2018) Preface -- Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra |
| Beschreibung: | 1 Online-Ressource (xviii, 828 Seiten) |
| ISBN: | 9781108349161 |
| DOI: | 10.1017/9781108349161 |
Internformat
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| 500 | |a Preface -- Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra | ||
| 520 | |a Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena | ||
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Datensatz im Suchindex
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| author | Schwede, Stefan ca. 20./21. Jh |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781108349161 |
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| id | DE-604.BV045242373 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:12:35Z |
| institution | BVB |
| isbn | 9781108349161 |
| language | English |
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| spelling | Schwede, Stefan ca. 20./21. Jh. Verfasser (DE-588)1169450253 aut Global homotopy theory Stefan Schwede, Rheinische Friedrich-Wilhelms-Universitat, Bonn Cambridge Cambridge University Press 2018 1 Online-Ressource (xviii, 828 Seiten) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 34 Title from publisher's bibliographic system (viewed on 31 Aug 2018) Preface -- Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena Homotopy theory / History Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-42581-0 New mathematical monographs 34 (DE-604)BV045935264 34 https://doi.org/10.1017/9781108349161 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Schwede, Stefan ca. 20./21. Jh Global homotopy theory New mathematical monographs Homotopy theory / History Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4128142-1 |
| title | Global homotopy theory |
| title_auth | Global homotopy theory |
| title_exact_search | Global homotopy theory |
| title_full | Global homotopy theory Stefan Schwede, Rheinische Friedrich-Wilhelms-Universitat, Bonn |
| title_fullStr | Global homotopy theory Stefan Schwede, Rheinische Friedrich-Wilhelms-Universitat, Bonn |
| title_full_unstemmed | Global homotopy theory Stefan Schwede, Rheinische Friedrich-Wilhelms-Universitat, Bonn |
| title_short | Global homotopy theory |
| title_sort | global homotopy theory |
| topic | Homotopy theory / History Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homotopy theory / History Homotopy theory Homotopietheorie |
| url | https://doi.org/10.1017/9781108349161 |
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