A general construction of Poisson brackets on exact multisymplectic manifolds

Abstract

In this note the long standing problem of the definition of a Poisson bracket in the framework of a multisymplectic formulation of classical field theory is solved. The new bracket operation can be applied to forms of arbitary degree. Relevant examples are discussed and important properties are stated with proofs sketched.

8 pages LaTeX, Talk delivered at the 34th Symp. on Math. Phys., Torun, Poland, June 2002

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