Stable integral simplicial volume of 3-manifolds

TL;DR

This paper proves that for non-elliptic prime 3-manifolds, the simplicial volume can be approximated by integral methods, using ergodic theory and integral foliated simplicial volume.

Contribution

It establishes the equality of simplicial volume and stable integral simplicial volume for a class of 3-manifolds, extending previous approximation results.

Findings

Non-elliptic prime 3-manifolds satisfy integral approximation for simplicial volume.

The proof utilizes integral foliated simplicial volume and ergodic theory tools.

The result links geometric topology with ergodic theoretical methods.

Abstract

We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, i.e., that their simplicial volume equals the stable integral simplicial volume. The proof makes use of integral foliated simplicial volume and tools from ergodic theory.