Vanishing simplicial volume for certain affine manifolds

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dc.contributor.authorBucher, Michelle
dc.contributor.authorConnell, Chris
dc.contributor.authorLafont, Jean-François
dc.date.accessioned2025-02-20T15:49:59Z
dc.date.available2025-02-20T15:49:59Z
dc.date.issued2018
dc.description.abstractWe 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 Lück.
dc.identifier.citationBucher, Michelle, et al. "Vanishing simplicial volume for certain affine manifolds." Proceedings of the American Mathematical Society, vol. 146, no. 3, pp. 1287--1294, 2018, https://doi.org/10.1090/proc/13799.
dc.identifier.otherBRITE 2038
dc.identifier.urihttps://hdl.handle.net/2022/30832
dc.language.isoen
dc.relation.isversionofhttps://doi.org/10.1090/proc/13799
dc.relation.isversionofhttp://arxiv.org/pdf/1610.00832
dc.relation.journalProceedings of the American Mathematical Society
dc.rightsThis work may be protected by copyright unless otherwise stated.
dc.titleVanishing simplicial volume for certain affine manifolds

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