7 papers
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…
A note on solvable Lie groups without lattices and the Felix-Thomas models of fibrations
Aleksy Tralle
In this paper we show that a certain solvable Lie group constructed in a paper by Benson and Gordon has no lattices. This result answers (in the negative way) a question posed by s…
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…
On symplectic manifolds with aspherical symplectic form
Yuli Rudyak, Aleksy Tralle
We consider closed symplectically aspherical manifolds, i.e. closed symplectic manifolds satisfying the condition . Rudyak and Oprea [RO] remarked that such…