Kionke, Steffen and Loeh, Clara (2021) A NOTE ON p-ADIC SIMPLICIAL VOLUMES. GLASGOW MATHEMATICAL JOURNAL, 63 (3). pp. 563-583. ISSN 0017-0895, 1469-509X
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We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on p-adic simplicial volumes. We investigate the dependence on the prime and establish homology bounds in terms of p-adic simplicial volumes. As the main examples, we compute the weightless and p-adic simplicial volumes of surfaces. This is based on an alternative way to calculate classical simplicial volume of surfaces without hyperbolic straightening and shows that surfaces satisfy mod p and p-adic approximation of simplicial volume.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 55N10; 12J25; 46S10; 57M20 |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Aug 2022 11:22 |
| Last Modified: | 23 Aug 2022 11:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46837 |
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