Homological reduction of Courant algebroids

Henrique Bursztyn; Pedro H. Carvalho

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arXiv · 2610.19170

Homological reduction of Courant algebroids

Henrique Bursztyn·Pedro H. Carvalho

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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 RIS

Henrique Bursztyn, Pedro H. Carvalho. 2026-10-13. Homological reduction of Courant algebroids. https://arxiv.org/abs/2610.19170

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