Timeline for Existence of a map between automorphism group of universal covers
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 27, 2013 at 22:02 | comment | added | Fernando Muro | The question is definitely unclear, it admits some trivial answers which, of course, is not what you're looking for (e.g. you always have the trivial homomorphism). | |
| Sep 27, 2013 at 17:21 | vote | accept | Darius Math | ||
| Sep 27, 2013 at 16:17 | answer | added | Misha | timeline score: 2 | |
| Sep 27, 2013 at 13:50 | comment | added | Darius Math | I think I clarrified this in my question. Automorphism in the category of holomorphic manifolds. So $Aut(\tilde X)$ is the group of holomorphic automorphisms of $\tilde X$. Of course $\pi_{1}(X)\subseteq Aut(\tilde X)$ but I am interested in the full group of automorphisms of $\tilde X$ not only those which cover the coverings map $\tilde X\to X$ (i.e. $\pi_{1}(X)$) | |
| Sep 27, 2013 at 13:41 | comment | added | Fernando Muro | Automorphism group in which category? You may be asking about the induced map on fundamental groups. | |
| Sep 27, 2013 at 13:05 | history | asked | Darius Math | CC BY-SA 3.0 |