Symplectic Manifolds with no Kaehler structure (Lecture Notes in Mathematics, 1661)
ISBN-13:
9783540631057
ISBN-10:
3540631054
Edition:
1997
Author:
John Oprea, Alesky Tralle
Publication date:
1997
Publisher:
Springer
Format:
Paperback
207 pages
FREE US shipping
Book details
ISBN-13:
9783540631057
ISBN-10:
3540631054
Edition:
1997
Author:
John Oprea, Alesky Tralle
Publication date:
1997
Publisher:
Springer
Format:
Paperback
207 pages
Summary
Symplectic Manifolds with no Kaehler structure (Lecture Notes in Mathematics, 1661) (ISBN-13: 9783540631057 and ISBN-10: 3540631054), written by authors
John Oprea, Alesky Tralle, was published by Springer in 1997.
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Description
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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