MONOPOLES AND THREE-MANIFOLDS by Peter Kronheimer, Tomasz Mrowka ( 9780521880220 )

Item Details

Title:

MONOPOLES AND THREE-MANIFOLDS

By:

Peter Kronheimer, Tomasz Mrowka

Format:

Hardback

List price:

£185.00

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£161.88

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12.5% off

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£23.12

ISBN 10:

052188022X

ISBN 13:

9780521880220

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

20 December, 2007

Series:

New Mathematical Monographs v. 10

Pages:

810

Description:

A comprehensive treatment of Floer homology, based on the Seiberg-Witten equations, first published in 2007.

Synopsis:

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.

Illustrations:

12 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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