Quantization of orbit bundles in $gl^*(n,C)$
  Let $G$ be the complex general linear group and $g$ its Lie algebra equipped with a factorizable Lie bialgebra structure; let $U_h$ be the corresponding quantum group. We construct explicit $U_h$-equivariant quantization of Poisson orbit bundles $O_\lambda \to O_\mu$ in $gl(n)*$. 
A. Mudrov (York and SPb), and V. Ostapenko (Bar Ilan)