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math.AT2021
The topology of Gelfand-Zeitlin fibers
Jeffrey D. Carlson, Jeremy Lane
We prove several new results about the topology of fibers of Gelfand--Zeitlin systems on unitary and orthogonal coadjoint orbits, at the same time finding a unifying framework reco…
math.SG2021
A local normal form for Hamiltonian actions of compact semisimple Poisson-Lie groups
Megumi Harada, Jeremy Lane, Aidan Patterson
The main contribution of this manuscript is a local normal form for Hamiltonian actions of Poisson-Lie groups on a symplectic manifold equipped with an -valued moment map,…