We consider singular foliations J as locally finitely generated O-submodules of O-derivations
closed under the Lie bracket, where O is the ring of smooth, holomorphic, or real analytic …

Following recent results of AK and VS on Z-graded manifolds, we give several local and
global normal forms results for Q-structures on those, ie for differential graded manifolds. In …

In this article we study multisymplectic geometry, ie, the geometry of manifolds with a non-
degenerate, closed differential form. First we describe the transition from Lagrangian to …

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 …

There have been several attempts in recent years to extend the notions of symplectic and
Poisson structures in order to create a suitable geometrical framework for classical field …

These lecture notes attempt to invite the reader towards the theory of singular foliations, both
smooth and holomorphic. In addition to a systematic review of the foundations, and an …

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 …

We study the modular class of $ Q $-manifolds, and in particular of negatively graded Lie
$\infty $-algebroid. We show the equivalence of several descriptions of those classes, that it …

We investigate the existence of homotopy comoment maps (comoments) for high-
dimensional spheres seen as multisymplectic manifolds. Especially, we solve the existence …

Consider a closed non-degenerate 3-form ω with an infinitesimal action of a Lie algebra g.
Motivated by the fact that the observables associated to ω form a Lie 2-algebra, we introduce …