Fauser, Daniel and Friedl, Stefan and Loeh, Clara (2019) Integral approximation of simplicial volume of graph manifolds. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 51 (4). pp. 715-731. ISSN 0024-6093, 1469-2120
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Graph manifolds are manifolds that decompose along tori into pieces with a tame S1-structure. In this paper, we prove that the simplicial volume of graph manifolds (which is known to be zero) can be approximated by integral simplicial volumes of their finite coverings. This gives a uniform proof of the vanishing of rank gradients, Betti number gradients and torsion homology gradients for graph manifolds.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RANK GRADIENT; 55N10; 57N65; 57M27 (primary) |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Apr 2020 06:02 |
| Last Modified: | 07 Apr 2020 06:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26548 |
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