Monopoles and Three-Manifolds
Originating with Andreas Floer in the 1980s, Floer homology provides an invariant of three-dimensional manifolds and four-dimensional cobordisms between them. It has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten 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,…
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Produktdetails
Weitere Autoren: Mrowka, Tomasz
- ISBN: 978-0-521-88022-0
- EAN: 9780521880220
- Produktnummer: 2917916
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2011
- Seitenangabe: 810 S.
- Masse: H23.5 cm x B15.7 cm x D5.1 cm 1'375 g
- Abbildungen: HC gerader Rücken kaschiert
- Gewicht: 1375
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. Tomasz Mrowka is Professor of Mathematics at Massachusetts Institute of Technology. He holds the James and Marilyn Simons Professorship of Mathematics and is a Member of the American Academy of Arts and Sciences. He was a joint recipient (with Peter Kronheimer) of the 2007 Oswald Veblen Prize. His research interests are low-dimensional topology, partial differential equations and mathematical physics.
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