Algebraic fibrings of a hyperbolic $7$-manifold

Abstract

We show there is a finite-volume, hyperbolic $7$-manifold that algebraically fibres with finitely presented kernel of type $\mathtt{FP}(\mathbb{Q})$. This manifold is a finite cover of the one constructed by Italiano--Martelli--Migliorini.

arXiv commentLemma 3.2 of the previous version is strengthened (now Proposition 3.3). Accepted for publication in the Bulletin of the LMS