Higher Whitehead groups of certain bundles over Seifert manifolds

Vanishing results for $\text{W}{\text{h}}_j({\pi }_{1}M)\otimes R(R=\mathbf{Z},\mathbf{Q},\text{ or }\mathbf{Z}[1/2])$ are obtained when $M$ is a closed aspherical manifold which is the total space of a bundle over an insufficiently large Seifert manifold with infinite fundamental group of hyperbolic type. Allowable fibers include Riemannian flat manifolds and closed aspherical manifolds with poly- $\mathbf{Z}$ fundamental groups. Corollaries. concern the homotopy groups of the group $\text{TOP}(M)$ of self-homeomorphisms of $M$ .