13 citations · 19 across the 5 of their papers we have counts for
5 papers
Smith-Gysin Sequence
J. I. Royo Prieto, M. Saralegi Aranguren, R. Wolak
Starting with a manifold and a semi-free action of on it, we have the Smith-Gysin sequence: $$ \cdots \to H^{*}( M) \to H^{*-3}(M/S^3, M^{S^3}) \oplus H^{*} (M^{S^3}) \to…
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…
Equivariant intersection cohomology of the circle actions
Jose Ignacio Royo Prieto, Martintxo Saralegi-Aranguren
In this paper, we prove that the orbit space B and the Euler class of an action of the circle S^1 on X determine both the equivariant intersection cohomology of the pseudomanifold…
Cohomological tautness for Riemannian foliations
J. I. Royo Prieto, M. Saralegi-Aranguren, R. Wolak
In this paper we present some new results on the tautness of Riemannian foliations in their historical context. The first part of the paper gives a short history of the problem. Fo…