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math-ph2026
Collective superintegrable systems from the Guillemin--Sternberg torus action
L. Feher
We present a novel approach to the superintegrability of collective Hamiltonians invariant under a Hamiltonian action of a connected semisimple compact Lie group, , on a symplec…
math-ph2026
Spherical singularities in compactified Ruijsenaars--Schneider systems
L. Feher, H. R. Dullin
We investigate certain Liouville integrable systems constructed earlier via reduction of the quasi-Hamiltonian double of . These systems live on compact connected s…
math-ph2025
Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
L. Feher, M. Fairon
We develop a set of sufficient conditions for guaranteeing that an integrable system with a symmetry group on a manifold descends to an integrable system on a dense open su…