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- W4238049651 abstract "The class of concentrated periodic diffeomorphisms $g:M to M$ is introduced. A diffeomorphism is called concentrated if, roughly speaking, its normal eigenvalues range in a small (with respect to the period of $g$ and the dimension of $M$) arc on the circle. In many ways, the cyclic action generated by such a $g$ behaves on the one hand as a circle action and on the other hand as a generic prime power order cyclic action. For example, as for circle actions, $operatorname {Sign} (g,M) = operatorname {Sign} ({M^g})$, provided that the left-hand side is an integer; as for prime power order actions, $g$ cannot have a single fixed point if $M$ is closed. A variety of integrality results, relating to the usual signatures of certain characteristic submanifolds of the regular neighbourhood of ${M^g}$ in $M$ to $operatorname {Sign} (g,M)$ via the normal $g$-representations, is established." @default.
- W4238049651 created "2022-05-12" @default.
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- W4238049651 date "1991-02-01" @default.
- W4238049651 modified "2023-09-27" @default.
- W4238049651 title "Concentrated Cyclic Actions of High Periodicity" @default.
- W4238049651 doi "https://doi.org/10.2307/2001550" @default.
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