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Jun 21, 2021 at 12:24 comment added Michael Albanese No worries. For those unfamiliar with the LHS spectral sequence, here's another way to verify the claim. The three-manifold described above is the total space of the Euler class $n$ circle bundle over $T^2$. It follows from the Gysin sequence that the cup product of the pullbacks of the two generators of $H^1(T^2; \mathbb{Z})$ is a non-zero torsion element of order $n$.
Jun 21, 2021 at 3:07 comment added Tyler Lawson @MichaelAlbanese You're correct. Sorry for the mistake.
Jun 20, 2021 at 21:05 comment added Michael Albanese I think you want $(nb)$ not $(nc)$ - the modified condition should be imposed on the top right corner of the matrix.
Jun 6, 2013 at 11:30 vote accept Allen
Jun 6, 2013 at 6:55 vote accept Allen
Jun 6, 2013 at 11:29
Jun 6, 2013 at 4:39 history answered Tyler Lawson CC BY-SA 3.0