Volumes of fibered 2-fold branched covers of 3-manifolds

TL;DR

This paper demonstrates that for any closed, oriented 3-manifold, there are infinitely many hyperbolic 3-manifold covers that are surface bundles over the circle with arbitrarily large volume.

Contribution

It establishes the existence of infinite families of 2-fold branched covers of any 3-manifold with unbounded hyperbolic volume.

Findings

Existence of infinite hyperbolic 2-fold branched covers

These covers are surface bundles over the circle

Volumes can be arbitrarily large

Abstract

We prove that for any closed, connected, oriented 3-manifold M, there exists an infinite family of 2-fold branched covers of M that are hyperbolic 3-manifolds and surface bundles over the circle with arbitrarily large volume.