Timeline for Computation of $\Omega^{Pin-}_{d}(B\mathbb{Z}_2)$ and Smith isomorphism
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 13, 2018 at 1:46 | comment | added | mme | I'm not sure which version of Pin bordism the article "Pin Cobordism and Related Topics" refers to, but it states that $\overline\Omega_{n+1}^{\text{Spin}}(B\Bbb Z/2) = \Omega_n^{\text{Pin}}$. This would give you the desired result, by precisely the AHSS argument you suggest, and the spin bordism result you mention (which is I think more well-known). | |
| Oct 13, 2018 at 1:38 | comment | added | Arun Debray | @MikeMiller I don't know. It should be about as hard as the analogous fact for spin bordism. | |
| Oct 12, 2018 at 22:45 | comment | added | mme | Is it obvious there isn't any p-torsion in Pin^- bordism of a point itself (the $q_1=0$ line of your spectral sequence)? The OP indicates this is true to degree 4, at least. | |
| Oct 12, 2018 at 21:29 | history | edited | Arun Debray | CC BY-SA 4.0 |
correctly spelling Tillmann
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| Oct 16, 2017 at 16:12 | history | edited | Arun Debray | CC BY-SA 3.0 |
removed assumption that this method fails to detect odd torsion, added explanation
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| Aug 22, 2017 at 17:14 | history | answered | Arun Debray | CC BY-SA 3.0 |