A general construction of Poisson brackets on exact multisymplectic manifolds

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

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.

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