M. Saralegi-Aranguren

activity

20002026

most citedBlown-up intersection cohomology

31 citations · 125 across the 27 of their papers we have counts for

collaborators

31 papers

math.AT2026

Spectral sequence of an isometric action

J. I. Royo Prieto, M. Saralegi-Aranguren

We consider a free smooth action $Φ : G \times M \to M$ of a connected compact Lie group $G$ on a manifold $M$ . We examine the Cartan filtration of the complex of differential…

math.AT2025

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…

math.DG2023

Hard Lefschetz property for $S^{3}$ -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…

math.AT2023

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…

math.AT2023

The Gysin braid for $S^{3}$ -actions on manifolds

José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren

Given a smooth action of the sphere $S^{3}$ on a manifold $M$ , we have previously constructed a Gysin sequence relating the cohomology of the manifold $M$ and that of the orb…

math.AT2022

Relation between intersection homology and homotopy groups