Zeros of the Alexander polynomial of knot
Noguchi, Akio
Osaka J. Math., Tome 44 (2007) no. 1, p. 567-577 / Harvested from Project Euclid
The leading coefficient of the Alexander polynomial of a knot is the most informative element derived from 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 in each subject. However, there is no study which deals with both subjects in the same context. In this paper, we show that the two subjects are closely related in $p$-adic number theory and dynamical systems.
Publié le : 2007-09-14
Classification:  57M27,  11S05,  37B40
@article{1189717423,
     author = {Noguchi, Akio},
     title = {Zeros of the Alexander polynomial of knot},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 567-577},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1189717423}
}
Noguchi, Akio. Zeros of the Alexander polynomial of knot. Osaka J. Math., Tome 44 (2007) no. 1, pp.  567-577. http://gdmltest.u-ga.fr/item/1189717423/