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math.AT2016
Equivariant cohomology of cohomogeneity one actions: the topological case
Oliver Goertsches, Augustin-Liviu Mare
We show that for any cohomogeneity one continuous action of a compact connected Lie group on a closed topological manifold the equivariant cohomology equipped with its canonica…
math.DS2016
On the complete integrability of the periodic quantum Toda lattice
Augustin-Liviu Mare
We prove that the periodic quantum Toda lattice corresponding to any extended Dynkin diagram is completely integrable. This has been conjectured and proved in all classical cases a…