Fauser, Daniel (2021) Integral foliated simplicial volume and S-1-actions. FORUM MATHEMATICUM, 33 (3). pp. 773-788. ISSN 0933-7741, 1435-5337
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The simplicial volume of oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. In the present work, we prove a version of this result for the integral foliated simplicial volume of aspherical manifolds: The integral foliated simplicial volume of aspherical oriented closed connected smooth manifolds that admit a non-trivial smooth S-1-action vanishes. Our proof uses the geometric construction of Yano's proof for ordinary simplicial volume as well as the parametrized uniform boundary condition for S-1.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RANK GRADIENT; COST; Simplicial volume; S-1-action; uniform boundary condition |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2022 07:01 |
| Last Modified: | 06 Jul 2022 07:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45754 |
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