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arXiv · 2207.10525

Simplicial volume of manifolds with amenable fundamental group at infinity

Giuseppe Bargagnati
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Abstract

We show that for $n \neq 1,4$ the simplicial volume of an inward tame triangulable open $n$-manifold $M$ with amenable fundamental group at infinity at each end is finite; moreover, we show that if also $\pi_1(M)$ is amenable, then the simplicial volume of $M$ vanishes. We show that the same result holds for finitely-many-ended triangulable manifolds which are simply connected at infinity.

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BibTeXRIS

Giuseppe Bargagnati. 2022-07-21. Simplicial volume of manifolds with amenable fundamental group at infinity. https://doi.org/10.1017/s0017089524000107

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