Herrmann, Gerrit (2023) Sutured manifolds and ℓ2-Betti numbers. QUARTERLY JOURNAL OF MATHEMATICS, 74 (4). pp. 1435-1455. ISSN 0033-5606, 1464-3847
Full text not available from this repository. (Request a copy)Abstract
Using the virtual fibering theorem of Agol, we show that a sutured 3-manifold (M, R+, R_, ?) is taut if and only if the l(2)-Betti numbers of the pair (M, R_) are zero. As an application, we can characterize Thurston norm minimizing surfaces in a 3-manifold N with empty or toroidal boundary by the vanishing of certain l(2)-Betti numbers.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Feb 2024 10:46 |
| Last Modified: | 21 Feb 2024 10:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/58926 |
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