Stable integral simplicial volume of 3-manifolds

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.

36 pages, no figures; minor changes made according to referee's suggestions; To appear in J. Topol

References in corpus (2)

• Isometric properties of relative bounded cohomology
• Isomorphisms in l^1-homology

Cited by in corpus (4)

• On the simplicial volume and the Euler characteristic of (aspherical) manifolds
• Multiplicative constants and maximal measurable cocycles in bounded cohomology
• Survey on L^2-invariants and 3-manifolds
• A note on $p$-adic simplicial volumes