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- W1983646002 abstract "It was shown in [6], [7] that suitable global characteristic numbers determine the bordism classes of unoriented G-manifolds if G (ZJk and of unitary G-manifolds if G is cyclic. We show in this paper that there are no other cases in which characteristic numbers determine bordism classes. The proof is based on an explicit computation of the equivariant characteristic numbers of certain manifolds and on the use of a new construction in bordism theory, which we call multiplicative induction, and which should have many more applications. In ? 1 we review some well-known facts about characteristic numbers and explain the notation used in ?2 to state the main results of this paper. ?3 contains calculations. The definition of multiplicative induction and some applications are given in ?4." @default.
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- W1983646002 date "1978-01-01" @default.
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- W1983646002 title "Characteristic numbers of $G$-manifolds and multiplicative induction" @default.
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- W1983646002 doi "https://doi.org/10.1090/s0002-9947-1978-0478182-8" @default.
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