Dekorationsartikel gehören nicht zum Leistungsumfang.
Sprache:
Englisch
Regulärer Preis:
inkl. MwSt.
108,95 €
Versandkostenfrei per Post / DHL
Lieferzeit 1-2 Wochen
Kategorien:
Beschreibung
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides a full discussion of a central part of the study of the topology of manifolds.
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides a full discussion of a central part of the study of the topology of manifolds.
Über den Autor
Peter Kronheimer is William Caspar Graustein Professor in the Department of Mathematics at Harvard University. He is a Fellow of the Royal Society and has been awarded several distinguished prizes including the 2007 Oswald Veblen Prize. He is co-author, with S. K. Donaldson, of The Geometry of Four-Manifolds. His research interests are gauge theory, low-dimensional topology and geometry.
Inhaltsverzeichnis
Preface; 1. Outlines; 2. The Seiberg-Witten equations and compactness; 3. Hilbert manifolds and perturbations; 4. Moduli spaces and transversality; 5. Compactness and gluing; 6. Floer homology; 7. Cobordisms and invariance; 8. Non-exact perturbations; 9. Calculations; 10. Further developments; References; Glossary of notation; Index.
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780521184762 |
| ISBN-10: | 0521184762 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Kronheimer, Peter
Mrowka, Tomasz |
| Hersteller: | Cambridge University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 229 x 152 x 47 mm |
| Von/Mit: | Peter Kronheimer (u. a.) |
| Erscheinungsdatum: | 25.11.2010 |
| Gewicht: | 1,291 kg |