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May 22, 2017 at 13:12 comment added Ben Webster No, you're right; I should be able to use exact sequences correctly by now, but apparently not.
May 22, 2017 at 13:11 history edited Ben Webster CC BY-SA 3.0
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May 22, 2017 at 11:01 comment added Nick L Thanks for the answer! it helped a lot. I have one slight issue, It would seem to make more sense to me in terms of the exact sequence if you had written that $H^{2}_{S^1}(M,M^{S^1})$ is torsion, since that maps into $H^{2}_{S^1}(M)$? perhaps I am misunderstanding
May 19, 2017 at 14:30 vote accept Nick L
May 19, 2017 at 14:27 history answered Ben Webster CC BY-SA 3.0