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Session 15. Groups and Topology
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Integral foliated simplicial volume of hyperbolic 3-manifolds |
Clara Loeh, Universität Regensburg, Germany
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The talk is based on the joint work with Cristina Pagliantini
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Integral foliated simplicial volume is a version of simplicial
volume combining the rigidity of integral coefficients with the
flexibility of measure spaces. 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.
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