Compact symplectic four-dimensional manifolds not admitting polarizations
Marisa Fernández, Manuel de León (1989)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Marisa Fernández, Manuel de León (1989)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Baldridge, Scott, Li, Tian-Jun (2005)
Algebraic & Geometric Topology
Similarity:
Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz (2015)
Complex Manifolds
Similarity:
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).
M. Fernández, Manuel de León, I. Rozas (1990)
Archivum Mathematicum
Similarity:
Fernández, Marisa, Muñoz, Vicente, Santisteban, José A. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Dieter Kotschick (1995-1996)
Séminaire Bourbaki
Similarity:
Stefano Vidussi (2007)
Journal of the European Mathematical Society
Similarity:
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.
J. Kurek, W. M. Mikulski (2003)
Annales Polonici Mathematici
Similarity:
We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.
Michael Eastwood, Jan Slovák (2018)
Archivum Mathematicum
Similarity:
On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry. ...