6 papers
Hard Lefschetz property for -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…
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…
Abelian and non-Abelian numbers via 3D Origami
José Ignacio Royo Prieto, Eulàlia Tramuns
In this work we introduce new folding axioms involving easy 3D manoeuvres with the aim to push forward the arithmetic limits of the Huzita-Justin axioms. Those 3D axioms involve th…
Tenseness of Riemannian flows
Hiraku Nozawa, José Ignacio Royo Prieto
We show that any transversally complete Riemannian foliation F of dimension one on any possibly non-compact manifold M is tense; namely, (M,F) admits a Riemannian metric such that…
The Gysin sequence for -actions on manifolds
J. I. Royo Prieto, Martintxo Saralegi-Aranguren
We construct a Gysin sequence associated to any smooth -action on a smooth manifold.
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)…