Reduction of Courant algebroids and generalized complex structures
Marco Gualtieri | Bursztyn, Henrique | Cavalcanti, Gil
courant algebroids | generalized complex structures | generalized kahler structures | reduction
We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized Kaehler structures which interpolates between holomorphic reduction of complex manifolds and symplectic reduction. The enhanced symmetry group of a Courant algebroid leads us to define extended actions and a generalized notion of moment map. Key examples of generalized Kaehler reduced spaces include new explicit bi-Hermitian metrics on CP^2.