Any BV-module with a cocycle yields an L∞-algebra of observables, and constraint-triple reduction of that algebra recovers and explains the multisymplectic reduction of Blacker, Miti and Ryvkin.
Blohmann, The Homotopy Momentum Map of General Relativity , International Mathematics Research Notices 2023(10), 8212--8250 (may 2023)
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Multisymplectic observable reduction using constraint triples
Any BV-module with a cocycle yields an L∞-algebra of observables, and constraint-triple reduction of that algebra recovers and explains the multisymplectic reduction of Blacker, Miti and Ryvkin.