A theorem gives sufficient conditions for an integrable system to descend through Poisson reduction, with explicit generalized action variables, applied to moduli spaces of flat connections and to the three doubles of compact Lie groups.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Proves Liouville integrability of the magnetic geodesic flow on S^n with constant 2-form via quadratic and linear integrals in momenta.
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Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
A theorem gives sufficient conditions for an integrable system to descend through Poisson reduction, with explicit generalized action variables, applied to moduli spaces of flat connections and to the three doubles of compact Lie groups.
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Integrability of the magnetic geodesic flow on the sphere with a constant 2-form
Proves Liouville integrability of the magnetic geodesic flow on S^n with constant 2-form via quadratic and linear integrals in momenta.