TY - JOUR

T1 - Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres

AU - Koda, Yuya

N1 - Funding Information:
Acknowledgements. The author is grateful to Alessia Cattabriga, Teruhisa Kadokami and Yukihiro Tsutsumi for helpful comments. He would also like to express his gratitude to the referee for providing detailed comments and suggestions to improve the manuscript. He is supported by the JSPS Research Fellowships for Young Scientists.

PY - 2007/3

Y1 - 2007/3

N2 - 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.

AB - 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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U2 - 10.1017/S030500410600990X

DO - 10.1017/S030500410600990X

M3 - Article

AN - SCOPUS:34247850819

SN - 0305-0041

VL - 142

SP - 259

EP - 268

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 2

ER -