Timeline for Asphericity of hypersurface complement in ${\mathbb C}^n$
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jul 16, 2018 at 6:53 | comment | added | RKS | Thanks a lot for the reference of Xicotencatl. I believe that there is some kind of method to check whether such an algebraically defined map (when fiber is non-compact) is a locally trivial fibration? But no luck so far! | |
Jul 13, 2018 at 10:17 | comment | added | Mark Grant | The space in question is an orbit configuration space $F_{C_2}(\mathbb{C}^*,n)$, where the cyclic group $C_2$ acts by $x\mapsto x^{-1}$. Xicotencatl showed that orbit configuration spaces $F_G(M,n)$ have Fadell-Neuwirth fibrations, but only in the case when $G$ acts freely on $M$. This makes me think you should try to prove non-asphericity by looking for a sphere in $X_n$ enclosing a singular point, such as $(1,1)$. | |
Jul 11, 2018 at 11:17 | history | edited | RKS |
edited tags
|
|
Jul 9, 2018 at 7:21 | history | edited | RKS | CC BY-SA 4.0 |
added 22 characters in body
|
Jul 9, 2018 at 6:32 | history | asked | RKS | CC BY-SA 4.0 |