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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some applications of Landweber-Novikov operations


Author: David M. Segal
Journal: Proc. Amer. Math. Soc. 54 (1976), 342-344
MathSciNet review: 0388419
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Abstract: Previous results on the characteristic numbers of $ Sp$-manifolds are extended in three different ways. I. It is shown that the primitive symplectic Pontrjagin class evaluated on a $ 4({2^j} - 1)$ dimensional $ Sp$-manifold always gives a number divisible by $ 8$. This forms an analogue to a well-known result of Milnor concerning $ U$-manifolds. II. It is shown that some of the results of Floyd as well as an analogue of the previous result can be obtained for 'pseudo-symplectic' manifolds. III. Results are generalised to $ (Sp,fr)$ manifolds.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0388419-5
Keywords: Landweber-Novikov operation, symplectic manifold, pseudo-symplectic manifold, symplectic-framed manifold
Article copyright: © Copyright 1976 American Mathematical Society