31 citations · 125 across the 27 of their papers we have counts for
8 papers · 1 filter
Hard Lefschetz property for -actions
JosÉ Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
The Hard Lefschetz Property (HLP) has recently been formulated in the context of isometric flows without singularities on manifolds. In this category, two versions of the HLP (tran…
Hard Lefschetz Property for Isometric Flows
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
The Hard Lefschetz Property (HLP) is an important property which has been studied in several categories of the symplectic world. For Sasakian manifolds, this duality is satisfied b…
Cohomological Tautness of Singular Riemannian Foliations
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
For a Riemannian foliation F on a compact manifold M , J. A. Álvarez López proved that the geometrical tautness of F , that is, the existence of a Riemannian metric making all the…
Finitness of the basic intersection cohomology of a Killing foliation
M. Saralegi-Aranguren, R. Wolak
We prove that the basic intersection cohomology where is the singular foliation determined by an isometric action of a…
Top dimensional group of the basic intersection cohomology for singular riemannian foliations
J. I. Royo Prieto, M. Saralegi-Aranguren, R. Wolak
It is known that, for a regular riemannian foliation on a compact manifold, the properties of its basic cohomology (non-vanishing of the top-dimensional group and Poincaré Duality)…
Tautness for riemannian foliations on non-compact manifolds
J. I. Royo Prieto, M. Saralegi-Aranguren, R. Wolak
For a riemannian foliation on a closed manifold , it is known that is taut (i.e. the leaves are minimal submanifolds) if and only if the (tautness) c…