Observables and Symmetries of n-Plectic Manifolds

Leonid Ryvkin gives a motivated and self-sustainedintroduction to n-plectic geometry with a special focus on symmetries. Therelevant algebraic structures from scratch are developed. The author generalizesknown symplectic notions, notably observables and symmetries, to the n-plecticcase, culminating in solving the existence question for co-moment maps forgeneral pre-n-plectic manifolds. Finally partial results scattered along theliterature are derived from our general result.