Loeh, Clara and Pagliantini, Cristina (2016) Integral foliated simplicial volume of hyperbolic 3-manifolds. GROUPS GEOMETRY AND DYNAMICS, 10 (3). pp. 825-865. ISSN 1661-7207, 1661-7215
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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. 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MANIFOLDS; COMPLEXITY; Simplicial volume; integral foliated simplicial volume; hyperbolic 3-manifolds; measure equivalence |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Mar 2019 10:14 |
| Last Modified: | 18 Mar 2019 10:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2622 |
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