31 citations · 125 across the 27 of their papers we have counts for
22 papers · 1 filter
Spectral sequence of an isometric action
J. I. Royo Prieto, M. Saralegi-Aranguren
We consider a free smooth action of a connected compact Lie group on a manifold . We examine the Cartan filtration of the complex of differential…
Intersection homotopy, refinements and coarsenings
Martintxo Saralegi-Aranguren, Daniel Tanré
In previous works, we studied intersection homotopy groups associated to a Goresky and MacPherson perversity and a filtered space. They are defined as the homotopy groups of simpli…
Homotopy truncations of homotopically stratified spaces
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
Intersection homology of Goresky and MacPherson can be defined from the Deligne sheaf, obtained from truncations of complexes of sheaves. As intersection homology is not the homolo…
The Gysin braid for -actions on manifolds
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren
Given a smooth action of the sphere on a manifold , we have previously constructed a Gysin sequence relating the cohomology of the manifold and that of the orb…
Relation between intersection homology and homotopy groups
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
As Goresky and MacPherson intersection homology is not the homology of a space, there is no preferred candidate for intersection homotopy groups. Here, they are defined as the homo…
A reasonable notion of dimension for singular intersection homology
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
M. Goresky and R. MacPherson intersection homology is also defined from the singular chain complex of a filtered space by H. King, with a key formula to make selections among singu…