Reduction of Courant algebroids and generalized complex structures

• Autores: Henrique Bursztyn, Gil Cavalcanti, Marco Gualtieri
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 211, Nº 2, 2007, págs. 726-765
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized Kähler 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 Kähler reduced spaces include new explicit bi-Hermitian metrics on CP2.