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Calculus of variations on fibre bundles
Noether?s first theorem
Lagrangian and Hamiltonian field theories
Lagrangian and Hamiltonian nonrelativistic mechanics
Global Kepler problem
Calculus of variations on graded bundles
Noether?s second theorems
Yang?Mills gauge theory on principal bundles
SUSY gauge theory on principal graded bundles
Gauge gravitation theory on natural bundles
Chern?Simons topological field theory
Topological BF theory.

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