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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
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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