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Reduction of Courant algebroids and generalized complex structures |
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| Authors: | Henrique Bursztyn |
| Institution: | a Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320, Brazil b Mathematical Institute, 24-29 St. Giles, Oxford, OX1 3LB, UK c Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA |
| Abstract: | 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. |
| Keywords: | Reduction Courant algebroid Dirac structure Generalized complex geometry Bi-Hermitian structure |
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