Journal article
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
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(Version of record, pdf, 348.3KB)
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- Publisher copy:
- 10.1016/j.aim.2006.09.008
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Authors
Funding
Natural Sciences and Engineering Research Council of Canada
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Fields Institute for Research in Mathematical Sciences
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Mathematical Institute
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Instituto Nacional de Matemática pura e Aplicada
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Engineering and Physical Sciences Research Council
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Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Advances in Mathematics Journal website
- Volume:
- 211
- Issue:
- 2
- Pages:
- 726–765
- Publication date:
- 2007-06-01
- DOI:
- ISSN:
-
0001-8708
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:d514116d-5d25-4592-a04b-6601a89b4f2d
- Local pid:
- ora:8076
- Deposit date:
- 2014-02-25
Related Items
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2006
- Notes:
- 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).
- Licence:
- Other
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