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4 papers
Groupoids and singular foliations
Alfonso Garmendia
This doctoral thesis has two objectives. The first objective is to introduce a notion of equivalence for singular foliations that preserves their transverse geometry and is compati…
Quotients of singular foliations and Lie 2-group actions
Alfonso Garmendia, Marco Zambon
Every singular foliation has an associated topological groupoid, called holonomy groupoid (see arXiv:math/0612370). In this note we exhibit some functorial properties of this assig…
On the Inner Automorphisms of a Singular Foliation
Alfonso Garmendia, Ori Yudilevich
A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold. An autom…
Hausdorff Morita Equivalence of singular foliations
Alfonso Garmendia, Marco Zambon
We introduce a notion of equivalence for singular foliations - understood as suitable families of vector fields - that preserves their transverse geometry. Associated to every sing…