On the geometry of multi-Dirac structures and Gerstenhaber algebras

DOI10.1016/j.geomphys.2011.03.005zbMath1218.53084arXiv1102.2835OpenAlexW1985264023MaRDI QIDQ550287

Hiroaki Yoshimura, Melvin Leok, Joris Vankerschaver

Publication date: 8 July 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2835

zbMATH Keywords

classical field theoriesmultisymplectic formsmulti-Dirac structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (4)

Poisson color algebras of arbitrary degree ⋮ Remarks on Hamiltonian structures in G2-geometry ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation ⋮ The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized complex geometry
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• Dirac structures in Lagrangian mechanics. II: Variational structures
• Categorified symplectic geometry and the classical string
• The Schouten-Nijenhuis bracket and interior products
• Some remarks on Lagrangian and Poisson reduction for field theories.
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Covariant Poisson brackets in geometric field theory
• The cohomology structure of an associative ring
• The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories
• Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
• Canonical multi-symplectic structure on the total exterior algebra bundle
• Graded geometry and Poisson reduction
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Dirac Manifolds
• Generalized Calabi-Yau Manifolds

This page was built for publication: On the geometry of multi-Dirac structures and Gerstenhaber algebras