Timeline for Torsion In $K$ theory on simply connected manifolds
Current License: CC BY-SA 3.0
5 events
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Oct 16, 2016 at 12:42 | comment | added | Omar | @IgorBelegradek thanks for your answer. | |
Oct 16, 2016 at 12:36 | vote | accept | Omar | ||
Oct 16, 2016 at 11:49 | comment | added | Igor Belegradek | @Omar: let $P_k$ the principal $S^3$ bundle over $S^4$ corresponding to the integer $k\in \pi_4(BS^3)\cong \pi_3(S^3)$. Then $P_k$ is $2$-connected and $H_3(P_k)$ has order $|k|$, see e.g. arxiv.org/abs/math/0007198, proposition 3.3. Take $k=2$. | |
Oct 16, 2016 at 10:41 | comment | added | Omar | Thank you for your answer but I don't see why such a manifold exists? | |
Oct 16, 2016 at 10:37 | history | answered | John Rognes | CC BY-SA 3.0 |