Relative n-plectic structures are claimed to produce L-infinity algebras of observables, yielding Lie 2-algebras and homotopy moment maps for quasi-Hamiltonian G-spaces, though several sign and generality issues remain.
Twisted K-homology and group-valued moment maps.Inter- national Mathematics Research Notices, Volume 2012, 2012
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Observables of Relative Structures and Lie 2-algebras associated with Quasi-Hamiltonian $G$-spaces
Relative n-plectic structures are claimed to produce L-infinity algebras of observables, yielding Lie 2-algebras and homotopy moment maps for quasi-Hamiltonian G-spaces, though several sign and generality issues remain.