4 papers
Actions of Lie 2-algebras and comomentum maps
Philippe Bonneau, Véronique Chloup-Arnould, Angela Gammella +1
In this paper we introduce the notion of a 2-action of a Lie 2-algebra on an arbitrary manifold M. Furthermore, in [Rog12], given a n-plectic manifold (M, ), the authors conside…
Hamiltonian dynamics and geometry on the two-plectic six-sphere
Maxime Wagner, Tilmann Wurzbacher
We study the two-plectic geometry of the six-sphere induced by pulling back a canonical -invariant three-form from . Notably we explicitly prove non-flatness of…
Notes on equivalent formulations of Hamiltonian dynamics on multicotangent bundles
Maxime Wagner, Tilmann Wurzbacher
We show the equivalence of five different conditions on a classical field with values in a restricted multicotangent bundle to be a solution of the field equations, notably in…
Lagrangian submanifolds of standard multisymplectic manifolds
Gabriel Sevestre, Tilmann Wurzbacher
We give a detailed, self-contained proof of Geoffrey Martin's normal form theorem for Lagrangian submanifolds of standard multisymplectic manifolds (that generalises Alan Weinstein…