Talk:Spin bordism

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Revision as of 17:02, 19 March 2019 by Michael Albanese (Talk | contribs)
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Throughout section $4.2$, we should still have the condition that Failed to parse (Missing texvc executable; please see math/README to configure.): J

doesn't contain Failed to parse (Missing texvc executable; please see math/README to configure.): 1

. Right?

There also seems to be an issue with the basis for Failed to parse (Missing texvc executable; please see math/README to configure.): \Omega^{Spin}_*\otimes\mathbb{Z}_2 . The third dot point reads "Failed to parse (Missing texvc executable; please see math/README to configure.): M_J\times\omega_8^k

with Failed to parse (Missing texvc executable; please see math/README to configure.): k \geq 0

, Failed to parse (Missing texvc executable; please see math/README to configure.): n(J)

odd". But Failed to parse (Missing texvc executable; please see math/README to configure.): M_J
is only defined for Failed to parse (Missing texvc executable; please see math/README to configure.): n(J)
even. 

I can think of two possibilities of what was meant:

1. "Failed to parse (Missing texvc executable; please see math/README to configure.): n(J)

odd" should be "Failed to parse (Missing texvc executable; please see math/README to configure.): n(J)
even". If this was what was intended, then this is covered by the first dot point with Failed to parse (Missing texvc executable; please see math/README to configure.): i = 0
so the third dot point is unnecessary. 

2. Failed to parse (Missing texvc executable; please see math/README to configure.): M_J

should be Failed to parse (Missing texvc executable; please see math/README to configure.): N_J

. If this is the case, then the fifth dot point is no longer needed (just take Failed to parse (Missing texvc executable; please see math/README to configure.): k = 0 ).

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