3 papers
math.SG2026
Lie-Rinehart and Poisson algebras over -rings
Eugene Lerman, Ruben Louis
We define the analogue of Lie-Rinehart algebras over -rings. We show that given a Poisson -ring its module of -Käh…
math-ph2026
On construction of differential -graded varieties
Aliaksandr Hancharuk, Ruben Louis
Given a commutative unital algebra , a proper ideal in , and a positively graded differential variety over , we provide…
math.CT2025
The holonomy Lie -groupoid of a singular foliation I
Camille Laurent-Gengoux, Ruben Louis
We construct a finite-dimensional higher Lie groupoid integrating a singular foliation , under the mild assumption that the latter admits a geometric resolution. More…