Integral foliated simplicial volume of hyperbolic 3-manifolds
Clara Löh
Universität Regensburg, GermanyCristina Pagliantini
ETH Zürich, Switzerland
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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.
Cite this article
Clara Löh, Cristina Pagliantini, Integral foliated simplicial volume of hyperbolic 3-manifolds. Groups Geom. Dyn. 10 (2016), no. 3, pp. 825–865
DOI 10.4171/GGD/368