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Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres

Published online by Cambridge University Press:  10 April 2007

YUYA KODA
YUYA KODA*
Affiliation:
Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan. e-mail: [email protected]
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Abstract

Let K be a knot in a rational homology sphere M. In this paper we correlate the Alexander polynomial of K with a g-word cyclic presentation for the fundamental group of the strongly-cyclic covering of M branched over K. We also give a formula for the order of the first homology group of the strongly-cyclic branched covering.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 2 , March 2007 , pp. 259 - 268
Copyright
Copyright © Cambridge Philosophical Society 2007

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