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Monopoles and three-manifolds /

Kronheimer, P. B.,

Monopoles and three-manifolds /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	514/.3
書名/作者:	Monopoles and three-manifolds // Peter Kronheimer, Tomasz Mrowka.
其他題名:	Monopoles & Three-Manifolds
作者:	Kronheimer, P. B.,
其他作者:	Mrowka, Tomasz,
面頁冊數:	1 online resource (xii, 796 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Three-manifolds (Topology)
標題:	Homology theory.
標題:	Seiberg-Witten invariants.
標題:	Moduli theory.
ISBN:	9780511543111 (ebook)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511543111

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 ;3..

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:

643211
Three-manifolds (Topology)

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

Dewey Class. No.: 514/.3

Monopoles and three-manifolds /
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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 Three-manifolds (Topology) $3 643211
650 0 $a Homology theory. $3 511031
650 0 $a Seiberg-Witten invariants. $3 643212
650 0 $a Moduli theory. $3 641132
700 1 $a Mrowka, Tomasz, $e author. $3 643210
776 0 8 $i Print version: $z 9780521880220
830 0 $a New mathematical monographs ; $v 3. $3 642977
856 4 0 $u http://dx.doi.org/10.1017/CBO9780511543111

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