Torus bundles and the group cohomology of GL(N,Z)
classification
dg-ga
math.DG
keywords
bundlescharacteristicclassbasebundlecertaincohomologycontained
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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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