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- catalog abstract "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.".
- catalog contributor b10450834.
- catalog contributor b10450835.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description "Includes bibliographical references (p.[200]-205) and index.".
- catalog description "Introduction -- The Starting Point: Homotopy Properties of Kaehler Manifolds -- Nilmanifolds -- Solvmanifolds -- The Examples of McDuff -- Symplectic Structures in Total Spaces of Bundles -- Survey -- References -- Index.".
- catalog 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.".
- catalog extent "viii, 207 p. ;".
- catalog identifier "3540631054 (pbk. : acid-free paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1661.".
- catalog isPartOf "Lecture notes in mathematics ; 1661".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 516.3/62 21".
- catalog subject "Algebraic topology.".
- catalog subject "Global differential geometry.".
- catalog subject "Homotopy theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1661 QA641".
- catalog subject "Symplectic manifolds.".
- catalog tableOfContents "Introduction -- The Starting Point: Homotopy Properties of Kaehler Manifolds -- Nilmanifolds -- Solvmanifolds -- The Examples of McDuff -- Symplectic Structures in Total Spaces of Bundles -- Survey -- References -- Index.".
- catalog title "Symplectic manifolds with no Kähler structure / John Oprea, Aleksy Tralle.".
- catalog type "text".