LEADER 03009nam 22006615 450 001 9910146288103321 005 20250731103522.0 010 $a3-540-69145-6 024 7 $a10.1007/BFb0092608 035 $a(CKB)1000000000437352 035 $a(SSID)ssj0000327073 035 $a(PQKBManifestationID)12124520 035 $a(PQKBTitleCode)TC0000327073 035 $a(PQKBWorkID)10298426 035 $a(PQKB)10624998 035 $a(DE-He213)978-3-540-69145-7 035 $a(MiAaPQ)EBC5590917 035 $a(Au-PeEL)EBL5590917 035 $a(OCoLC)1066189094 035 $a(MiAaPQ)EBC6842104 035 $a(Au-PeEL)EBL6842104 035 $a(OCoLC)1292362089 035 $a(PPN)155207083 035 $a(EXLCZ)991000000000437352 100 $a20121227d1997 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymplectic Manifolds with no Kaehler structure /$fby Alesky Tralle, John Oprea 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997. 215 $a1 online resource (VIII, 208 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1661 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-63105-4 327 $aThe starting point: Homotopy properties of kähler manifolds -- Nilmanifolds -- Solvmanifolds -- The examples of McDuff -- Symplectic structures in total spaces of bundles -- Survey. 330 $aThis is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1661 606 $aGeometry, Differential 606 $aAlgebraic topology 606 $aDifferential Geometry 606 $aAlgebraic Topology 615 0$aGeometry, Differential. 615 0$aAlgebraic topology. 615 14$aDifferential Geometry. 615 24$aAlgebraic Topology. 676 $a514.24 700 $aTralle$b Aleksy$f1958-$061873 702 $aOprea$b John 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146288103321 996 $aSymplectic Manifolds with no Kaehler structure$94412545 997 $aUNINA