- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:02
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
10
2016
3
Integral foliated simplicial volume of hyperbolic 3-manifolds
Clara
Löh
Universität Regensburg, REGENSBURG, GERMANY
Cristina
Pagliantini
ETH Zürich, ZÜRICH, SWITZERLAND
Simplicial volume, integral foliated simplicial volume, hyperbolic 3-manifolds, measure equivalence
Integral foliated simplicial volume is a version of simplicial volume combining the rigidity of integral coe fficients 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 refi ned 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.
Manifolds and cell complexes
Group theory and generalizations
Algebraic topology
825
865
10.4171/GGD/368
http://www.ems-ph.org/doi/10.4171/GGD/368