ENGLISH

Symplectic Manifolds with no Kähler Structure

By Aleksy Tralle , John Oprea (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1997
ISBN
978-3-540-63105-7, 978-3-540-69145-7
DOI
10.1007/BFb0092608
Language
english
Format
PDF
Filesize
3 MB (3336323 bytes)
Series
Lecture Notes in Mathematics 1661
Edition
1
Pages
208\215
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Differential Geometry; Algebraic Topology

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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