Torus bundles and the group cohomology of GL(N,ℤ)

Abstract

We prove the vanishing of a certain characteristic class of flat vector bundles when the structure groups of the bundles are contained in GL(N,℔). We do so by explicitly writing the characteristic class as an exact form on the base of the bundle. © 1997 Journal of Differential Geometry. © 1997 Applied Probability Trust.