LEADER 02763nam 2200601 450 001 996466581503316 005 20220907163017.0 010 $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 $a20220907d1997 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymplectic manifolds with no Ka?hler structure /$fAleksy Tralle, John Oprea 205 $a1st ed. 1997. 210 1$aBerlin :$cSpringer,$d[1997] 210 4$d©1997 215 $a1 online resource (VIII, 208 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1661 300 $aBibliographic Level Mode of Issuance: Monograph 311 $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 (Springer-Verlag) ;$v1661. 606 $aHomotopy theory 615 0$aHomotopy theory. 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 $a996466581503316 996 $aSymplectic manifolds with no Ka?hler structure$92910247 997 $aUNISA