Lecture Notes in Mathematics

By: Alesky Tralle, John Oprea

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Paperback | 17 July 1997

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This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.

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Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Topology Algebraic Topology

Introduction
The Starting Point: Homotopy Properties of Kahler Manifolds	p. 1
Nilmanifolds	p. 45
Solvmanifolds	p. 70
The Examples of McDuff	p. 120
Symplectic Structures in Total Spaces of Bundles	p. 137
Survey	p. 173
References	p. 200
Index	p. 206
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

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