A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries
classification
🧮 math-ph
hep-thmath.MP
keywords
poissonbracketderivativeexteriorgradedmultisymplecticnontrivialvertical
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A vertical exterior derivative is constructed that is needed for a graded Poisson structure on multisymplectic manifolds over nontrivial vector bundles. In addition, the properties of the Poisson bracket are proved and first examples are discussed.
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