6 citations · 7 across the 3 of their papers we have counts for
6 papers
Principal bundle groupoids, their gauge group and their nerve
Alfonso Garmendia, Sylvie Paycha
We consider groupoids in the category of principal bundles, which we call principal bundles (PB) groupoids. Inspired by work by Th. Nikolaus and K. Waldorf, we generalise bundle ge…
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…
Integration of singular foliations via paths
Joel Villatoro, Alfonso Garmendia
We give a new construction of the holonomy and fundamental groupoids of a singular foliation. In contrast with the existing construction of Androulidakis and Skandalis, our method…
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…