- 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.
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- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 20/02/2014).
Reduction of Courant algebroids and generalized complex structures
Fields Institute for Research in Mathematical Sciences More from this funder
Mathematical Institute More from this funder
Instituto Nacional de Matemática pura e Aplicada More from this funder
Natural Sciences and Engineering Research Council of Canada More from this funder
Engineering and Physical Sciences Research Council More from this funder
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