Item description for Symplectic Manifolds with no Kaehler structure (Lecture Notes in Mathematics) by Alesky Tralle...
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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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.46" Weight: 0.69 lbs.
Release Date Jan 15, 1997
ISBN 3540631054 ISBN13 9783540631057
Availability 125 units. Availability accurate as of May 25, 2017 01:27.
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Reviews - What do customers think about Symplectic Manifolds with no Kaehler structure (Lecture Notes in Mathematics)?
Highly recommended Apr 23, 2002
I thoroughly enjoyed reading this monograph from cover to cover. It is packed with alot of information, and it is a great way to start learning about rational homotopy theory via symplectic topology. It is certainly accesible to graduate students, and not just to experts in the field(s). Supplementary reading might consist of: Halperin, Felix and Thomas, _Rational Homotopy Theory_, a very recent publication by Springer, and the older Griffiths and Morgan, _Rational Homotopy Theory and Differential Forms_, Birkhauser. Some background in algebraic geometry (portions of Griffiths and Harris, for instance) will prove to be useful.