Glanon groupoids (Q2634881)

This paper introduces the notions of Glanon groupoids and Glanon algebroids. Glanon groupoids are Lie groupoids equipped with a multiplicative generalized complex structure and Glanon algebroids are nothing else then their infinitesimal counterparts. These notions generalize the notion of symplectic and holomorphic Lie groupoids and algebroids. The authors construct a functor which takes Glanon groupoids and Poisson groupoids to the corresponding algebroids. Various known integrability results are then obtained.