Zeros of the Alexander polynomial of knot
Geometric Topology
2007-05-23 v2 Dynamical Systems
Number Theory
Abstract
The leading coefficient of the Alexander polynomial of a knot is the most informative element in this invariant, and the growth of orders of the first homology of cyclic branched covering spaces is also a familiar subject. Accordingly, there are a lot of investigations into each subject. However, there is no study which deal with the both subjects in a same context. In this paper, we show that the two subjects are closely related in p-adic number theory and dynamical systems.
Keywords
Cite
@article{arxiv.math/0503252,
title = {Zeros of the Alexander polynomial of knot},
author = {Akio Noguchi},
journal= {arXiv preprint arXiv:math/0503252},
year = {2007}
}
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9 pages