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arXiv · 1610.00832

Vanishing simplicial volume for certain affine manifolds

Michelle Bucher·Chris Connell·Jean-François Lafont
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Abstract

We show that closed aspherical manifolds supporting an affine structure, whose holonomy map is injective and contains a pure translation, must have vanishing simplicial volume. This provides some further evidence for the veracity of the Auslander Conjecture. Along the way, we provide a simple cohomological criterion for aspherical manifolds with normal amenable subgroups of $\pi_1$ to have vanishing simplicial volume. This answers a special case of a question due to L\"uck.

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Michelle Bucher, Chris Connell, Jean-François Lafont. 2016-10-04. Vanishing simplicial volume for certain affine manifolds. https://arxiv.org/abs/1610.00832

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