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Monopoles and three-manifolds /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Monopoles and three-manifolds // Peter Kronheimer, Tomasz Mrowka.
remainder title:	Monopoles & Three-Manifolds
Author:	Kronheimer, P. B.,
other author:	Mrowka, Tomasz,
Description:	1 online resource (xii, 796 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Moduli theory. -
Online resource:	https://doi.org/10.1017/CBO9780511543111
ISBN:	9780511543111 (ebook)

Monopoles and three-manifolds /
Kronheimer, P. B.,

Monopoles and three-manifolds /Monopoles & Three-ManifoldsPeter Kronheimer, Tomasz Mrowka. - 1 online resource (xii, 796 pages) :digital, PDF file(s). - New mathematical monographs ;10. - New mathematical monographs ;31..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Outlines -- The Seiberg-Witten equations and compactness -- Hilbert manifolds and perturbations -- Moduli spaces and transversality -- Compactness and gluing -- Floer homology -- Cobordisms and invariance -- Non-exact perturbations -- Calculations.

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.

ISBN: 9780511543111 (ebook)Subjects--Topical Terms:

681816
Moduli theory.

LC Class. No.: QA613.2 / .K76 2007

Dewey Class. No.: 514/.3

Monopoles and three-manifolds /
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245 1 0 $a Monopoles and three-manifolds / $c Peter Kronheimer, Tomasz Mrowka.
246 3 $a Monopoles & Three-Manifolds
264 1 $a Cambridge : $b Cambridge University Press, $c 2007.
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490 1 $a New mathematical monographs ; $v 10
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Outlines -- The Seiberg-Witten equations and compactness -- Hilbert manifolds and perturbations -- Moduli spaces and transversality -- Compactness and gluing -- Floer homology -- Cobordisms and invariance -- Non-exact perturbations -- Calculations.
520 $a 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.
650 0 $a Moduli theory. $3 681816
650 0 $a Seiberg-Witten invariants. $3 1439618
650 0 $a Homology theory. $3 682984
650 0 $a Three-manifolds (Topology) $3 580069
700 1 $a Mrowka, Tomasz, $e author. $3 1439617
776 0 8 $i Print version: $z 9780521880220
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/CBO9780511543111