A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries
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Publication:5933511
DOI10.1016/S0034-4877(01)90007-2zbMath0986.53029arXivmath-ph/0002032MaRDI QIDQ5933511
Publication date: 29 May 2002
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0002032
Symplectic manifolds (general theory) (53D05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Related Items
THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY ⋮ A general construction of Poisson brackets on exact multisymplectic manifolds. ⋮ On extended graded Poisson algebras ⋮ Invariants associated to a variational problem ⋮ Poisson color algebras of arbitrary degree ⋮ A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity ⋮ SYMMETRIES IN CLASSICAL FIELD THEORY ⋮ On the geometry of field-theoretic Gerstenhaber structures ⋮ A Poisson bracket on multisymplectic phase space ⋮ Precanonical quantization and the Schrödinger wave functional ⋮ Polysymplectic formulation for BF gravity with Immirzi parameter
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