4 papers · 1 filter
Symplectically harmonic cohomology of nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it…
Symplectically aspherical manifolds
Raúl Ibáñez, Jarek Kȩdra, Yuli Rudyak +1
The main subjects of the paper is studying the fundamental groups of closed symplectically aspherical manifolds. Motivated by some results of Gompf, we introduce two classes of fun…
On certain geometric and homotopy properties of closed symplectic manifolds
Raúl Ibáñez, Yuli Rudyak, Aleksy Tralle +1
The paper deals with relations between the Hard Lefschetz property, (non)vanishing of Massey products and the evenness of odd-degree Betti numbers of closed symplectic manifolds. I…
On Symplectically Harmonic Forms on Six-dimensional Nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
In the present paper we study the variation of the dimensions of spaces of symplectically harmonic cohomology classes (in the sense of Brylinski) on closed symplectic manifol…