Timeline for Is there a closed aspherical manifold with infinitely many symmetries and without essential immersed tori?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 14 at 10:58 | comment | added | Jordi Daura | I just want to point out the relation with a question I asked here. If the manifold $M$ exists and the center $Z\pi_1(M)$ is not trivial (thus $Z\pi_1(M)\cong\mathbb{Z}$), the inner automorphism group $Inn(\pi_1(M))$ is infinite periodic, since the subgroup generated by $Z\pi_1(M)$ and any element $\gamma\in\pi_1(M)$ is abelian and hence cyclic by hypotheis. The image of $\gamma$ in $Inn(\pi_1(M))$ needs to be a torsion element. So probably, $Z\pi_1(M)$ will be trivial. | |
| Oct 8 at 11:53 | comment | added | Bruno Martelli | I don't have potential examples for the moment :-) I am probably going to cite this question as open in a paper I am writing. | |
| Oct 4 at 18:36 | comment | added | Ryan Budney | Have you tried asking Tom Farrell? I would imagine this is the kind of question he's thought about. | |
| Oct 4 at 11:21 | comment | added | Moishe Kohan | I do not think it is known, but my guess would be that such manifolds exist and you might be the one who will construct such examples. :) | |
| Oct 4 at 8:55 | history | asked | Bruno Martelli | CC BY-SA 4.0 |