45 citations · 175 across the 43 of their papers we have counts for
7 papers · 1 filter
Symplectically aspherical manifolds
Jarek Kedra, Yuli Rudyak, Aleksy Tralle
This is a survey article on symplectically aspherical manifolds. The paper contains a discussion on constructions of symplectically aspherical manifolds, their topological properti…
On fundamental groups of symplectically aspherical manifolds II: abelian groups
J. Kedra, Yu. Rudyak, A. Tralle
We describe all abelian groups which can appear as the fundamental groups of closed symplectically aspherical manifolds. The proofs use the theory of symplectic Lefschetz fibration…
Minimal atlases of closed symplectic manifolds
Yuli Rudyak, Felix Schlenk
We study the number of Darboux charts needed to cover a closed connected symplectic manifold , and effectively estimate this number from below and from above in terms of the…
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…