Monopoles and Three-Manifolds
Book Details
Format
Hardback or Cased Book
Book Series
New Mathematical Monographs
ISBN-10
052188022X
ISBN-13
9780521880220
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 20th, 2007
Print length
810 Pages
Weight
1,328 grams
Dimensions
16.20 x 23.70 x 5.60 cms
Product Classification:
Algebraic topology
Ksh 36,350.00
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This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg–Witten equations. Suitable for beginning graduate students and researchers in the field, 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.
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