Cohomologically Kähler manifolds with no Kähler metrics.
Fernández, Marisa, Muñoz, Vicente, Santisteban, José A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Fernández, Marisa, Muñoz, Vicente, Santisteban, José A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Commentationes Mathematicae Universitatis Carolinae
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Annales de la Faculté des sciences de Toulouse : Mathématiques
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Journal of the European Mathematical Society
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We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.