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

被引：4
|
作者：
Koda, Yuya [1 ]
机构：
[1] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2007年 / 142卷
基金：
日本学术振兴会;
关键词：
D O I：
10.1017/S030500410600990X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：259 / 268
页数：10
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