Timeline for de Rham cohomology with twisted coefficients and group cohomology
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 2, 2016 at 2:36 | comment | added | user40276 | @AntonDeitmar Riemann-Hilbert is a bit overkill here :) . This follows by viewing the universal covering space as a $\pi_1 (M)$-bundle and then applying the representation to the cocycles. This actually works more generally and gives $Rep (G) \cong Rep (Gau (P))$ | |
| Sep 2, 2016 at 1:02 | comment | added | Andy Sanders | See the discussion in this paper of Kapovich and Millson math.ucdavis.edu/~kapovich/EPR/KM_1996.pdf which essentially addresses your question. | |
| Sep 1, 2016 at 19:26 | comment | added | user1688 | Riemann-Hilbert correspondence tells you that bundles with flat connection are the same as local systems. Cohomology in a local system is (quasi by definition) the same as cohomology of the fundamental group with coefficients in the general fiber of the local system. | |
| Sep 1, 2016 at 18:41 | review | First posts | |||
| Sep 1, 2016 at 20:14 | |||||
| Sep 1, 2016 at 18:34 | history | asked | Pedro | CC BY-SA 3.0 |