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math.DG2000
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…
math.SG2000
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…
math.SG2000
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…