3 papers
math-ph2026
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 consid…
math.DG2025
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…
math.SG2024
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…