Document Type
Article
Publication Date
6-2-2023
Abstract
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded symplectic viewpoint on Courant algebroids and carrying out graded symplectic reduction, both in the coisotropic and hamiltonian settings. Specializing the latter to the exact case, we recover in a systematic way the reduction schemes of Bursztyn-Cavalcanti-Gualtieri.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
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Licensed to Smith College and distributed CC-BY 4.0 under the Smith College Faculty Open Access Policy.
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Author's Submitted Manuscript
Recommended Citation
Bursztyn, Henrique; Cattaneo, Alberto S.; Mehta, Rajan Amit; and Zambon, Marco, "Graded Geometry and Generalized Reduction" (2023). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/210