Associated to any manifold equipped with a closed form of degree> 1 is an 'L∞-algebra of
observables' which acts as a higher/homotopy analog of the Poisson algebra of functions on …

Given a vector field on a manifold. We focus on the case of multisymplectic manifolds and
Hamiltonian vector fields. Our main result is that in the presence of a Lie group of …

Given a multisymplectic manifold (M, ω) and a Lie algebra g acting on it by infinitesimal
symmetries, Fregier–Rogers–Zambon define a homotopy (co-) moment as an L∞-algebra …

Let $\omega $ be a closed, non-degenerate differential form of arbitrary degree. Associated
to it there are an $ L_ {\infty} $-algebra of observables, and an $ L_ {\infty} $-algebra of …

We show that the classical results on the existence and uniqueness of moment maps in
symplectic geometry generalize directly to weak homotopy moment maps in multisymplectic …

We extend Noether's theorem to the setting of multisymplectic geometry by exhibiting a
correspondence between conserved quantities and continuous symmetries on a multi …

We develop a reduction scheme for the Lю-algebra of observables on a premultisymplectic
manifold (M, ω) in the presence of a compatible Lie algebra action g↷ M and subset N⊆ M …

We develop a reduction scheme for the $ L_\infty $-algebra of observables on a
premultisymplectic manifold $(M,\omega) $ in the presence of a compatible Lie algebra …

Homotopy comomentum maps are a higher generalization of the notion of moment map
introduced to extend the concept of Hamiltonian actions to the framework of multisymplectic …

Associated to any manifold equipped with a closed form of degree> 1 is an L∞-algebra
which acts as a higher/homotopy analog of the Poisson Lie algebra of functions on a …