Brueck, Benjamin and Fournier-Facio, Francesco and Löh, Clara (2024) Median quasimorphisms on CAT(0)cube complexes and their cup products. GEOMETRIAE DEDICATA, 218 (1): 28. ISSN 0046-5755, 1572-9168
Full text not available from this repository. (Request a copy)Abstract
Cup products provide a natural approach to access higher bounded cohomology groups. Weextend vanishing results on cup products of Brooks quasimorphisms of free groups to cupproducts of median quasimorphisms, i.e., Brooks-type quasimorphisms of group actions onCAT(0)cube complexes. In particular, we obtain such vanishing results for groups actingon trees and for right-angled Artin groups. Moreover, we outline potential applications ofvanishing results for cup products in bounded cohomology
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 2ND BOUNDED COHOMOLOGY; RIGIDITY; Bounded cohomology; Cup product; CAT(0) cube complexes; Quasimorphisms; RAAGs |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Dec 2025 07:25 |
| Last Modified: | 03 Dec 2025 07:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64538 |
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