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Homological reduction of Courant algebroids
Abstract
We develop a homological model for hamiltonian reduction of Courant algebroids, parallel to the BFV formulation of hamiltonian reduction in symplectic geometry. To a hamiltonian action on a Courant algebroid, we associate a differential graded Courant--Dorfman algebra, obtained from the BFV algebra of the corresponding graded symplectic manifold; under usual regularity assumptions, its cohomology recovers the Courant--Dorfman algebra of the reduced Courant algebroid.
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BibTeX
@misc{bursztyn2026homological,
title = {{Homological reduction of Courant algebroids}},
author = {Henrique Bursztyn and Pedro H. Carvalho},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19170},
eprint = {2610.19170},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19170},
}
RIS
TY - UNPB
TI - Homological reduction of Courant algebroids
AU - Henrique Bursztyn
AU - Pedro H. Carvalho
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.19170
UR - https://arxiv.org/abs/2610.19170
AB - We develop a homological model for hamiltonian reduction of Courant algebroids, parallel to the BFV formulation of hamiltonian reduction in symplectic geometry. To a hamiltonian action on a Courant algebroid, we associate a differential graded Courant--Dorfman algebra, obtained from the BFV algebra of the corresponding graded symplectic manifold; under usual regularity assumptions, its cohomology recovers the Courant--Dorfman algebra of the reduced Courant algebroid.
ER -