CONSERVED QUANTITIES ON MULTISYMPLECTIC MANIFOLDS

DOI10.1017/S1446788718000381zbMath1440.37064arXiv1610.05592OpenAlexW3102731126MaRDI QIDQ5208830

Tilmann Wurzbacher, Leonid Ryvkin, Marco Zambon

Publication date: 22 January 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05592

zbMATH Keywords

conservation lawsmultisymplectic manifoldshomotopy co-momentum map

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Momentum maps; symplectic reduction (53D20) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (4)

A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS ⋮ An invitation to multisymplectic geometry ⋮ Noether's theorem in multisymplectic geometry ⋮ Homotopy momentum sections on multisymplectic manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Homotopy moment maps
• 2-plectic geometry, Courant algebroids, and categorified prequantization
• \(L _{\infty }\)-algebras from multisymplectic geometry
• A cohomological framework for homotopy moment maps
• Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
• Torus actions on symplectic manifolds
• \(L_\infty \)-algebras and higher analogues of Dirac sturctures and Courant algebroids
• Existence and unicity of co-moments in multisymplectic geometry
• Closed forms and multi-moment maps

This page was built for publication: CONSERVED QUANTITIES ON MULTISYMPLECTIC MANIFOLDS