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Reduction of Courant algebroids and generalized complex structures

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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1016/j.aim.2006.09.008

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Institution:
Instituto de Matemática Pura e Aplicada
Role:
Author
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Institution:
University of Oxford
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author
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Institution:
Massachusetts Institute of Technology
Department:
Department of Mathematics
Role:
Author
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
Publisher:
Elsevier Inc. Publisher's website
Journal:
Advances in Mathematics Journal website
Volume:
211
Issue:
2
Pages:
726–765
Publication date:
2007-06-05
DOI:
ISSN:
0001-8708
URN:
uuid:d514116d-5d25-4592-a04b-6601a89b4f2d
Local pid:
ora:8076

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