Geodesic
Locally variational invariant field equations and global currents: Chern-Simons theories
Communications in Mathematics, Tome 20 (2012) no. 1, pp. 13-22.

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We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.
Classification : 55N30, 55R10, 58A12, 58A20, 58E30, 70S10
Keywords: local variational problem; global current; Chern-Simons theory 
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     title = {Locally variational invariant field equations and global currents: {Chern-Simons} theories},
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Francaviglia, M.; Palese, M.; Winterroth, E. Locally variational invariant field equations and global currents: Chern-Simons theories. Communications in Mathematics, Tome 20 (2012) no. 1, pp. 13-22. http://geodesic.mathdoc.fr/item/COMIM_2012__20_1_a2/