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,Z). We do so by explicitly writing the characteristic class as an exact form on the base of the bundle.

52 pages, uuencoded dvi file

Cited by in corpus (5)

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• Torsion Invariants for Families
• Twisting cochains and higher torsion
• Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles
• Secondary characteristic classes for subgroups of automorphism groups of free groups