The paper extends graded Poisson brackets to arbitrary-order differential forms and uses them to describe Hamilton-de Donder-Weyl equations and conserved quantities in classical field theories.
Categorified Symplectic Geometry and the Classical String
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A description of classical field equations using extensions of graded Poisson brackets
The paper extends graded Poisson brackets to arbitrary-order differential forms and uses them to describe Hamilton-de Donder-Weyl equations and conserved quantities in classical field theories.