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Symplectic Manifolds with no Kaehler structure (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...

Pages   207
Est. Packaging Dimensions:   Length: 9.21" Width: 6.14" Height: 0.46"
Weight:   0.69 lbs.
Binding  Softcover
Release Date   Jan 15, 1997
Publisher   Springer
ISBN  3540631054  
ISBN13  9783540631057  

Availability  125 units.
Availability accurate as of Oct 24, 2016 08:22.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
6Books > Subjects > Science > Mathematics > Geometry & Topology > Topology

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.

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