Timeline for Determine monodromy representation from local system
Current License: CC BY-SA 4.0
3 events
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| Sep 24, 2023 at 19:03 | comment | added | JackYo | Is this the kind of approach you suggested to apply to $f_*1$ to extract the monodromy in second paragraph of your answer or did you had there another approach in mind? | |
| Sep 24, 2023 at 19:02 | comment | added | JackYo | Below R. van Dobben de Bruyn's answer I gave in the comments a sketch how I would like to try to constuct the monodromy repr from cycle data of $\gamma^* \mathcal{F}$. But if I'm not missing something the same construction should go through with $\mathcal{F}:=f_*1$ since the only difference would be that in your example $\mathcal{F}:=f_*1$ would be a set valued local system, so the $g_i$ would be live in $\text{Aut}(f^{-1}(x)) $, so the product $g_n \cdot g_{n-1} \cdot ...\cdot g_1$ still makes sense. | |
| Sep 24, 2023 at 0:45 | history | answered | Tom Goodwillie | CC BY-SA 4.0 |