We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its
mathematical foundations with an emphasis on higher algebraic structures and classical …

We promote geometric prequantization to higher geometry (higher stacks), where a
prequantization is given by a higher principal connection (a higher gerbe with connection) …

*** Write introduction*** Even though for many classical theories the equations of motion
were known first, such as Newton's equations of classical mechanics or Maxwell's equation …

To any manifold equipped with a higher degree closed form, one can associate an L_∞-
algebra of local observables that generalizes the Poisson algebra of a symplectic manifold …

Abstract We extend the Marsden–Weinstein–Meyer symplectic reduction theorem to the
setting of multisymplectic manifolds. In this context, we investigate the dependence of the …

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 …

We generalize the (n+ 1)-dimensional twisted R-Poisson topological sigma model with flux
on a target Poisson manifold to a Lie algebroid. Analyzing the consistency of constraints in …

We study multisymplectic structures taking values in vector bundles with connections from
the viewpoint of the Hamiltonian symmetry. We introduce the notion of bundle-valued n …

We argue that the relevant higher gauge group for the non-abelian generalization of the self-
dual string equation is the string 2-group. We then derive the corresponding equations of …

We introduce a notion of a homotopy momentum section on a Lie algebroid over a pre-
multisymplectic manifold. A homotopy momentum section is a generalization of the …