34 citations · 83 across the 34 of their papers we have counts for
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Noether's inverse second theorem in homology terms
G. Giachetta, L. Mangiarotti, G. Sardanashvily
A generic degenerate Lagrangian system of even and odd variables on an arbitrary smooth manifold is examined in terms of the Grassmann-graded variational bicomplex. Its Euler-Lagra…
Noether identities of a generic differential operator. The Koszul-Tate complex
G. Sardanashvily
Given a generic Lagrangian system, its Euler-Lagrange operator obeys Noether identities which need not be independent, but satisfy first-stage Noether identities, and so on. This c…
The variational bicomplex on graded manifolds and its cohomology
G. Sardanashvily
Lagrangian formalism on graded manifolds is phrased in terms of the Grassmann-graded variational bicomplex, generalizing the familiar variational bicomplex for even Lagrangian syst…
Noether's second theorem in a general setting. Reducible gauge theories
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
We prove Noether's direct and inverse second theorems for Lagrangian systems on fiber bundles in the case of gauge symmetries depending on derivatives of dynamic variables of an ar…
Cohomology of the variational bicomplex on the infinite order jet space
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. This provides a s…