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The Casson–Walker–Lescop invariant of periodic three-manifolds

Published online by Cambridge University Press:  22 February 2006

NAFAA CHBILI
NAFAA CHBILI
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro, Tokyo 152-8551, Japan. e-mail: chbili@math.titech.ac.jp
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Abstract

Let $p$ be an odd prime and $G$ the finite cyclic group of order $p$. We use the Casson–Walker–Lescop invariant to find a necessary condition for a three-manifold to have an action of $G$ with a circle as the set of fixed points and an integral homology sphere as the quotient.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 2 , March 2006 , pp. 253 - 264
Copyright
2006 Cambridge Philosophical Society

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