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Given a vector field on a manifold M, we define a globally conserved quantity to be a differential form whose Lie derivative is exact.
A mathematical introduction to fluid mechanics
A. J. Chorin and J. E. Marsden · 1993
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On the geometry of multisymplectic manifolds
A. I. F. Cantrijn and M. D. Leon · 1999
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Torus actions on symplectic manifolds
M. Audin · 2004
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L ∞ L_{\infty} -algebras from multisymplectic geometry
C. L. Rogers · 2012
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L ∞ L_{\infty} -algebras and higher analogues of Dirac structures and Courant algebroids
M. Zambon · 2012
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Closed forms and multi-moment maps
T. B. Madsen and A. Swann · 2013
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2-plectic geometry, Courant algebroids, and categorified prequantization
C. L. Rogers · 2013
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Differential cohomology in a cohesive infinity-topos
U. Schreiber
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A cohomological framework for homotopy moment maps
Y. Frégier, C. Laurent-Gengoux, and M. Zambon · 2015
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Existence and unicity of co-moments in multisymplectic geometry
L. Ryvkin and T. Wurzbacher · 2015
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Homotopy moment maps
M. Callies, Y. Fregier, C. L. Rogers, and M. Zambon · 2016
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