New York Journal of Mathematics
Volume 25 (2019), 687-722


Benedikt Hunger

Almost flat bundles and homological invariance of infinite K-area

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Published: September 5, 2019.
Keywords: infinite K-area; homological invariance; almost flat bundles; almost representations.
Subject: 53C23.

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.


This work is based on the author's Master's thesis at Universität Augsburg. The author would like to thank his thesis advisor Bernhard Hanke for his invaluable help and support, and the referee for their helpful remarks.

Author information

Benedikt Hunger:
Institut für Mathematik
Universität Augsburg
86135 Augsburg, Germany