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

 

The stable signature of a regular cyclic action


Author: Robert D. Little
Journal: Proc. Amer. Math. Soc. 130 (2002), 259-266
MSC (2000): Primary 57S17
Published electronically: July 31, 2001
MathSciNet review: 1855644
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Abstract: Let $p$ be an odd prime and $g: M^{2n}\longrightarrow M^{2n}$ a smooth map of order $p$. Suppose that the cyclic action defined by $g$ is regular and has fixed point set $F$. If the $g$-signature Sign$(g, M)$ is a rational integer and $n<p-1$, then there exists a choice of orientations such that Sign$(g, M)=$ Sign $F$.


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Additional Information

Robert D. Little
Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822-2330
Email: little@math.hawaii.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06369-9
PII: S 0002-9939(01)06369-9
Received by editor(s): May 19, 2000
Published electronically: July 31, 2001
Communicated by: Ralph Cohen
Article copyright: © Copyright 2001 American Mathematical Society