• Corpus ID: 17988109

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

@article{Bismut1995TorusBA,
title={Torus bundles and the group cohomology of GL(N,Z)},
author={Jean-Michel Bismut and John Lott},
journal={arXiv: Differential Geometry},
year={1995}
}
• Published 10 February 1995
• Mathematics
• arXiv: Differential Geometry
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,Z). We do so by explicitly writing the characteristic class as an exact form on the base of the bundle.
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The Reidemeister torsion is a classical topological invariant for nonsimply-connected manifolds [14]. Let M be a closed oriented smooth manifold with the fundamental group πλ(M) nontrivial. Let
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