Timeline for Seifert Fibrations and their associated Spectral Sequence
Current License: CC BY-SA 3.0
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| Jun 14, 2013 at 17:38 | comment | added | Jamie Walton | Beautiful, thanks Alexander. I should have thought about using the Gysin sequence, since we are just looking at circle bundles. I was thinking about twisted coefficients, but I guess that the action of the orbifold fundamental group here is trivial (and this happens if and only if the circle bundle is orientable, which we need for the Gysin sequence). I haven't seen many examples of the sort of cohomology rings you get for these orbifolds. I know that rationally it should be the same as for the base manifold, and I guess this example allows you to work backwards to some extent. | |
| Jun 14, 2013 at 8:12 | vote | accept | Jamie Walton | ||
| Jun 13, 2013 at 16:11 | history | answered | Alexander Lytchak | CC BY-SA 3.0 |