Lie theory of vector bundles, Poisson geometry and double structures
  We briefly review our results on the Lie theory underlying vector bundles over Lie groupoids and Lie algebroids, pointing out the role of Poisson geometry in extending these results to double Lie algebroids and LA-groupoids. 
Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo
math.DG math-ph math.MP