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math.DG2022
Regularisation of Lie algebroids and Applications
Álvaro del Pino, Aldo Witte
We describe a procedure, called regularisation, that allows us to study geometric structures on Lie algebroids via foliated geometric structures on a manifold of higher dimension.…
math.DG2022
Non-principal T-duality, generalized complex geometry and blow-ups
Gil R. Cavalcanti, Aldo Witte
We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the…