Reduction of Courant algebroids and generalized complex structures TeX Export

@misc{citeulike:466575, abstract = {We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized K\"ahler 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 K\"ahler reduced spaces include new explicit bi-Hermitian metrics on \$\CC P^2\$.}, archivePrefix = {arXiv}, author = {Bursztyn, Henrique and Cavalcanti, Gil R. and Gualtieri, Marco}, citeulike-article-id = {466575}, citeulike-linkout-0 = {http://arxiv.org/abs/math.DG/0509640}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.DG/0509640}, day = {27}, eprint = {math.DG/0509640}, keywords = {courant\_algebroids, generalized\_complex\_geometry, poisson}, month = {Sep}, posted-at = {2006-01-17 01:57:23}, priority = {2}, title = {Reduction of Courant algebroids and generalized complex structures}, url = {http://arxiv.org/abs/math.DG/0509640}, year = {2005} }

TY - ELEC ID - citeulike:466575 L3 - citeulike-article-id:466575 N2 - We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized K\"ahler 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 K\"ahler reduced spaces include new explicit bi-Hermitian metrics on $\CC P^2$. TI - Reduction of Courant algebroids and generalized complex structures KW - courant_algebroids KW - generalized_complex_geometry KW - poisson AU - Bursztyn, Henrique AU - Cavalcanti, Gil AU - Gualtieri, Marco PY - 2005/Sep/27/ UR - http://arxiv.org/abs/math.DG/0509640 ER -