2 citations · 3 across the 10 of their papers we have counts for
6 papers · 1 filter
On longitudinal differential operators and Nash blowups
Ruben Louis
In this short note, we describe the Helffer-Nourrigat cone of a singular foliation in terms of the Nash algebroid associated to the foliation. Along the way, we show that the Helff…
An invitation to singular foliations
Camille Laurent-Gengoux, Ruben Louis, Leonid Ryvkin
These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and…
On Nash resolution of (singular) Lie algebroids
Ruben Louis
Any Lie algebroid admits a Nash-type blow-up that sits in a nice short exact sequence of Lie algebroids $0\rightarrow K\rightarrow \mathrm{Nash}(A)\rightarro…
Universal higher Lie algebras of singular spaces and their symmetries
Ruben Louis
The results of this manuscript is the collection of my articles that I published during my PhD thesis. We show that there is an equivalence of categories between Lie-Rinehart algeb…
A series of Nash resolutions of a singular foliation
Ruben Louis
We construct a series of blowups of a singular foliation by applying to the universal Lie -algebroid of a singular foliation the s…
On symmetries of singular foliations
Ruben Louis
This paper shows that a weak symmetry action of a Lie algebra on a singular foliation induces a unique up to homotopy Lie-morphism from $\mathfr…