Geodesic
Integral foliated simplicial volume of hyperbolic 3-manifolds
Clara Löh1 ; Cristina Pagliantini2
1Universität Regensburg, Germany
2ETH Zürich, Switzerland
Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 825-865

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DOI

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.
DOI : 10.4171/ggd/368
Classification : 57-XX, 20-XX, 55-XX
Mots-clés : Simplicial volume, integral foliated simplicial volume, hyperbolic 3-manifolds, measure equivalence

Clara Löh  1   ; Cristina Pagliantini  2

1 Universität Regensburg, Germany
2 ETH Zürich, Switzerland 
Clara Löh; Cristina Pagliantini. Integral foliated simplicial volume of hyperbolic 3-manifolds. Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 825-865. doi: 10.4171/ggd/368
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     title = {Integral foliated simplicial volume of hyperbolic 3-manifolds},
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     pages = {825--865},
     year = {2016},
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     number = {3},
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