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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On the image of symplectic cobordism in unoriented cobordism


Author: Fred W. Roush
Journal: Proc. Amer. Math. Soc. 38 (1973), 647-652
MSC: Primary 57D90
MathSciNet review: 0326764
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0326764-7
PII: S 0002-9939(1973)0326764-7
Keywords: Symplectic cobordism, unoriented cobordism, characteristic numbers
Article copyright: © Copyright 1973 American Mathematical Society