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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.DG2024
A geometric characterization of -manifolds and the Frobenius theorem
Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta
This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric…