M. Saralegi-Aranguren

collaborators

5 papers

math.AT2026

Intersection homotopy, refinements and coarsenings

Martintxo Saralegi-Aranguren, Daniel TanrÃ©

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.AT2026

Spectral sequence of an isometric action

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

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

math.AT2025

Simplicial intersection homology revisited

David Chataur, Martin Saralegi-Aranguren, Daniel TanrÃ©

Intersection homology is defined for simplicial, singular and PL chains and it is well known that the three versions are isomorphic for a full filtered simplicial complex. In the l…

math.AT2025

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

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.AT2025

Relation between intersection homology and homotopy groups

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…

Intersection homotopy, refinements and coarsenings

Spectral sequence of an isometric action

Simplicial intersection homology revisited

The Gysin braid for S3-actions on manifolds

Relation between intersection homology and homotopy groups

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