Almost flat bundles and homological invariance of infinite K-area

Benedikt Hunger

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arXiv · 1607.07820

Almost flat bundles and homological invariance of infinite K-area

Benedikt Hunger

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Abstract

We extend the notion of an almost flat bundle over a closed Riemannian manifold to bundles over simplicial complexes, and prove that up to a constant factor, this notion is invariant under pullback via maps which induce isomorphisms on fundamental groups. As an application, we show that the property of having infinite K-area only depends on the image of the fundamental class under the classifying map of the universal cover.

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Benedikt Hunger. 2016-07-26. Almost flat bundles and homological invariance of infinite K-area. https://arxiv.org/abs/1607.07820

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