Halving the Milnor manifolds and some conjectures of Ray

Segal, David M.

doi:10.1090/S0002-9939-1973-0368041-4

Halving the Milnor manifolds and some conjectures of Ray
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by David M. Segal PDF

Proc. Amer. Math. Soc. 39 (1973), 625-628 Request permission

Abstract:

The peculiar properties of the ${2^j} - 2$ dimensional generators of unitary bordism (the $2$-primary Milnor generators) are related to the ${2^j} - 3$ dimensional indecomposable torsion classes of Alexander. This result is then used to confirm a conjecture of Ray concerning the generalised homology spectral sequence for $MS{p_\ast }(MU)$. Finally it is noted that Ray’s conjecture to the effect that all classes in $MS{p_\ast }$ are detectable by KO-characteristic numbers must fail.

References

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