Characteristic classes and transfer relations in cobordism

Bakuradze, M.; Jibladze, M.; Vershinin, V.

doi:10.1090/S0002-9939-02-06728-X

Characteristic classes and transfer relations in cobordism
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by M. Bakuradze, M. Jibladze and V. V. Vershinin PDF

Proc. Amer. Math. Soc. 131 (2003), 1935-1942 Request permission

Abstract:

Decompositions of products of the Ray elements by free generators of small dimensions in the symplectic cobordism ring are obtained. In particular it is stated that most of the $4n$-dimensional generators, for $n$ small, after multiplication by the Ray elements $\phi _i$, $i\geqslant 0$, land in the ideal generated by Ray elements of low dimension.

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