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math.DG2024
Homological vector fields over differentiable stacks
Daniel Álvarez, Miquel Cueca
In this work we solve the problem of providing a Morita invariant definition of Lie and Courant algebroids over Lie groupoids. By relying on supergeometry, we view these structures…
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.…