34 citations · 84 across the 35 of their papers we have counts for
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Lectures on integrable Hamiltonian systems
G. Sardanashvily
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-auto…
Fibre Bundles, Jet Manifolds and Lagrangian Theory. Lectures for Theoreticians
G. Sardanashvily
In contrast with QFT, classical field theory can be formulated in a strict mathematical way by treating classical fields as sections of smooth fibre bundles. Addressing to the theo…
The KT-BRST complex of a degenerate Lagrangian system
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Quantization of a Lagrangian field system essentially depends on its degeneracy and implies its BRST extension defined by sets of non-trivial Noether and higher-stage Noether ident…
Lagrangian and Hamiltonian dynamics of submanifolds
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Submanifolds of a manifold are described as sections of a certain fiber bundle that enables one to consider their Lagrangian and (polysymplectic) Hamiltonian dynamics as that of a…
Noether's second theorem for BRST symmetries
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
We present Noether's second theorem for graded Lagrangian systems of even and odd variables on an arbitrary body manifold X in a general case of BRST symmetries depending on deriva…
Geometric and Algebraic Topological Methods in Quantum Mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry factor, super- and BRST symmetries, non-…