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001 978-3-540-69145-7
003 DE-He213
005 20190213151521.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540691457
_9978-3-540-69145-7
024 7 _a10.1007/BFb0092608
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aTralle, Aleksy.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSymplectic Manifolds with no Kähler Structure
_h[electronic resource] /
_cby Aleksy Tralle, John Oprea.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1997.
300 _aVIII, 208 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1661
505 0 _aThe starting point: Homotopy properties of kähler manifolds -- Nilmanifolds -- Solvmanifolds -- The examples of McDuff -- Symplectic structures in total spaces of bundles -- Survey.
520 _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.
650 0 _aGlobal differential geometry.
650 0 _aAlgebraic topology.
650 1 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
700 1 _aOprea, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662194874
776 0 8 _iPrinted edition:
_z9783540631057
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1661
856 4 0 _uhttps://doi.org/10.1007/BFb0092608
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10943
_d10943