Symplectic manifolds with no Kähler structure
Author(s)
Bibliographic Information
Symplectic manifolds with no Kähler structure
（Lecture notes in mathematics, 1661）
Springer, c1997
- : pbk
Available at / 87 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
pbk. : acid-free paperL/N||LNM||1661RM970711
-
The University of Electro-Communications Library研
pbk. : acid-free paper410.8||L49||16612219702505
-
University of Teacher Education Fukuoka Library図
pbk. : acid-free paperP41||L49||16612197003003
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
pbk516.3/T6832070411133
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [200]-205) and index (p. [206]-207)
Description and Table of Contents
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.
Table of Contents
The starting point: Homotopy properties of kahler manifolds.- Nilmanifolds.- Solvmanifolds.- The examples of McDuff.- Symplectic structures in total spaces of bundles.- Survey.
by "Nielsen BookData"