Higher Poisson Brackets and Differential Forms

Details Higher Poisson Brackets and Differential Forms Higher Poisson Brackets and Differential Forms

2008-08-25

arxiv.org/abs/0808.3406v2

Physics

Mathematical Physics

LaTeX, 13 pages. Based on report at the XXVII Workshop on Geometric Methods in Physics (Bialowieza, Poland, 29 June to 5 July

Scientific paper

10.1063/1.3043861

We show how the relation between Poisson brackets and symplectic forms can be extended to the case of inhomogeneous multivector fields and inhomogeneous differential forms (or pseudodifferential forms). In particular we arrive at a notion which is a generalization of a symplectic structure and gives rise to higher Poisson brackets. We also obtain a construction of Koszul type brackets in this setting.

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