On the image of symplectic cobordism in unoriented cobordism

Roush, Fred W.

doi:10.1090/S0002-9939-1973-0326764-7

On the image of symplectic cobordism in unoriented cobordism
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Proc. Amer. Math. Soc. 38 (1973), 647-652 Request permission

Abstract:

It is shown in this paper that all 16th powers of unoriented cobordism classes can be represented by stably almost symplectic manifolds. The generators are coefficients in the expansion of a Conner-Floyd characteristic class of the symplectification of a tensor product of symplectic line bundles.

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