Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929409459486720 |
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| author | Ascari, Dario Milizia, Francesco |
| author_facet | Ascari, Dario Milizia, Francesco |
| contents | We exhibit a finitely presented group whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_03972 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov Ascari, Dario Milizia, Francesco Group Theory We exhibit a finitely presented group whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds. |
| title | Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov |
| topic | Group Theory |
| url | https://arxiv.org/abs/2207.03972 |