Cover Image
Read Now

Symplectic Manifolds with no Kaehler structure

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 d...

Full description

Bibliographic Details
Main Authors: Tralle, Alesky, Oprea, John (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1997, 1997
Edition:1st ed. 1997
Series:Lecture Notes in Mathematics
Subjects:
Geometry, Differential
Algebraic Topology
Differential Geometry
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 02018nmm a2200313 u 4500
001 EB000659495
003 EBX01000000000000000512577
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783540691457 
100 1 |a Tralle, Alesky 
245 0 0 |a Symplectic Manifolds with no Kaehler structure  |h Elektronische Ressource  |c by Alesky Tralle, John Oprea 
250 |a 1st ed. 1997 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1997, 1997 
300 |a VIII, 208 p  |b online resource 
505 0 |a The starting point: Homotopy properties of kähler manifolds -- Nilmanifolds -- Solvmanifolds -- The examples of McDuff -- Symplectic structures in total spaces of bundles -- Survey 
653 |a Geometry, Differential 
653 |a Algebraic Topology 
653 |a Algebraic topology 
653 |a Differential Geometry 
700 1 |a Oprea, John  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Mathematics 
028 5 0 |a 10.1007/BFb0092608 
856 4 0 |u https://doi.org/10.1007/BFb0092608?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 516.36 
520 |a 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 

Similar Items