Reduction of Courant algebroids and generalized complex structures

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dc.creatorBursztyn, Henrique
dc.creatorCavalcanti, Gil R.
dc.creatorGualtieri, Marco
dc.date2005-09-27
dc.date2006-09-20
dc.date.accessioned2026-07-07T08:07:18Z
dc.date.available2026-07-07T08:07:18Z
dc.descriptionWe 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 \emph{extended} actions and a generalized notion of moment map. Key examples of generalized Kähler reduced spaces include new explicit bi-Hermitian metrics on $\CC P^2$.
dc.description34 pages. Presentation greatly improved, one subsection added, errors corrected, references added. v3: a few changes in the presentation, material slightly reorganized, final version to appear in Adv. in Math
dc.identifierhttps://arxiv.org/abs/math/0509640
dc.identifierhttp://arxiv.org/abs/math/0509640
dc.identifierAdv. Math., 211 (2), 2007, 726--765
dc.identifierdoi:10.1016/j.aim.2006.09.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130899
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.titleReduction of Courant algebroids and generalized complex structures
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