3 papers
math.DG2020
Complete Lie algebroid actions and the integrability of Lie algebroids
D. Álvarez
We give a new proof of the equivalence between the existence of a complete action of a Lie algebroid on a surjective submersion and its integrability. The main tools in our approac…
math.DG2019
Integrability of quotients in Poisson and Dirac geometry
Daniel Álvarez
We study the integrability of Poisson and Dirac structures that arise from quotient constructions. From our results we deduce several classical results as well as new applications.…
math.SG2019
Leaves of stacky Lie algebroids
Daniel Álvarez
We show that the leaves of an LA-groupoid which pass through the unit manifold are, modulo a connectedness issue, Lie groupoids. We illustrate this phenomenon by considering the co…