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1 results

Simplicial volume of manifolds with amenable fundamental group at infinity
Part of
Giuseppe Bargagnati
Journal:

Glasgow Mathematical Journal / Volume 66 / Issue 3 / September 2024

Published online by Cambridge University Press:

22 April 2024, pp. 563-570

Print publication:

September 2024
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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.