Observables and Symmetries of n-Plectic Manifolds | Leonid Ryvkin

Leonid Ryvkin gives a motivated and self-sustained§introduction to n-plectic geometry with a special focus on symmetries. The§relevant algebraic structures from scratch are developed. The author generalizes§known symplectic notions, notably observables and symmetries, to the n-plectic§case, culminating in solving the existence question for co-moment maps for§general pre-n-plectic manifolds. Finally partial results scattered along the§literature are derived from our general result. §