4 papers
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…
De Rham intersection cohomology for general perversities
Martintxo E. Saralegi-Aranguren
For a stratified pseudomanifold , we have the de Rham Theorem $ \lau{\IH}{*}{\per{p}}{X} = \lau{\IH}{\per{t} - \per{p}}{*}{X}, $ for a perversity $\per{p}$ verifying $\per{0} \l…
Intersection cohomology of circle actions
Gabriel Padilla, Martintxo Saralegi-Aranguren
A classical result says that a free action of the circle on a topological space is geometrically classified by the orbit space and by a cohomological class ${H}…