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Aug 11, 2020 at 8:23 comment added G. Gallego Please check out my question here: mathoverflow.net/questions/368776/…
Aug 11, 2020 at 7:22 comment added G. Gallego Do you have a reference for the last fact? Precisely I want to know how to reconstruct the form $\omega$ from the cocycle $\omega_{xyz}$ in such a way that the integral of $\omega$ is precisely that sum. I have seen in some places that people build the 2-form $\sum_{xyz} \omega_{xyz} h_z dh_x \wedge dh_y$, where the $h_x$ are a partition of unity, but I don’t know why that gives you the wanted integral.
Apr 24, 2019 at 10:55 history answered Bertram Arnold CC BY-SA 4.0