ENGLISH

Monopoles and Three-Manifolds

By Peter Kronheimer , Tomasz Mrowka

Book information

Publisher
Cambridge University Press
Year
2007
ISBN
052188022X, 9780521880220, 9780511379093
LCC
QA613.2 .K76 2007
Open Library ID
OL10438315M
Language
english
Format
PDF
Filesize
3 MB (3166393 bytes)
Series
New mathematical monographs 10
Edition
1
Pages
810\810
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Математика;Топология

Description

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 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 the first full discussion of a central part of the study of the topology of manifolds since the mid 1990s.

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