The stable signature of a regular cyclic action
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- by Robert D. Little PDF
- Proc. Amer. Math. Soc. 130 (2002), 259-266 Request permission
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 $g$βsignature Sign$(g, M)$ is a rational integer and $n<p-1$, then there exists a choice of orientations such that Sign$(g, M)=$ Sign $F$.References
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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
- Received by editor(s): May 19, 2000
- Published electronically: July 31, 2001
- Communicated by: Ralph Cohen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 259-266
- MSC (2000): Primary 57S17
- DOI: https://doi.org/10.1090/S0002-9939-01-06369-9
- MathSciNet review: 1855644