We define the transgression functor which associates with a (higherdimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold.

The “odd transgression” introduced in Bressler and Rengifo (2018) is applied to construct and study the inverse image functor in the theory of Courant algebroids

We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild–Serre spectral ...

En este trabajo demostramos que todo grupoide doble de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie diagonal canónicamente definido. Tambien, estudiamos ...

In this work we study the problem of a free field realization of plane algebroid curves for which the dierences between Milnor and Tjurina numbers are two. This involves the steps of describing its universal central ...

The main idea of this work is to understand T-duality as a duality of geometric structures. In particular, we show that the structure of Lie algebroids in differential geometry is the one behind the description of T-duality. ...