Symplectic leaves of Calogero-Moser spaces of type $G(\ell ,1,n)$

Abstract

We study symplectic leaves of Calogero-Moser spaces of type $G(\ell ,1,n)$. We prove that the normalization of the closure of each symplectic leaf is isomorphic to some Calogero-Moser space. We also give a nice combinatorial parameterization of the symplectic leaves.

18 pages