Integral foliated simplicial volume of hyperbolic 3-manifolds
Geometric Topology
2014-03-24 v2 Algebraic Topology
Abstract
Integral foliated simplicial volume is a version of simplicial volume combining the rigidity of integral coefficients with the flexibility of measure spaces. In this article, using the language of measure equivalence of groups we prove a proportionality principle for integral foliated simplicial volume for aspherical manifolds and give refined upper bounds of integral foliated simplicial volume in terms of stable integral simplicial volume. This allows us to compute the integral foliated simplicial volume of hyperbolic 3-manifolds. This is complemented by the calculation of the integral foliated simplicial volume of Seifert 3-manifolds.
Keywords
Cite
@article{arxiv.1403.4518,
title = {Integral foliated simplicial volume of hyperbolic 3-manifolds},
author = {Clara Loeh and Cristina Pagliantini},
journal= {arXiv preprint arXiv:1403.4518},
year = {2014}
}
Comments
v2: 32 pages, hypotheses on the coupling/cocycles in Theorem 1.2 corrected