Salem-Boyd sequences and Hopf plumbing
| dc.creator | Hironaka, Eriko | |
| dc.date | 2005-06-29 | |
| dc.date.accessioned | 2026-07-07T05:21:15Z | |
| dc.date.available | 2026-07-07T05:21:15Z | |
| dc.description | Given a fibered link, consider the characteristic polynomial of the monodromy restricted to first homology. This generalizes the notion of the Alexander polynomial of a knot. We define a construction, called iterated plumbing, to create a sequence of fibered links from a given one. The resulting sequence of characteristic polynomials has the same form as those arising in work of Salem and Boyd in their study of distributions of Salem and P-V numbers. From this we deduce information about the asymptotic behavior of the large roots of the generalized Alexander polynomials, and define a new poset structure for Salem fibered links. | |
| dc.description | 18 pages, 6 figures, to appear in Osaka J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0506602 | |
| dc.identifier | http://arxiv.org/abs/math/0506602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75622 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M50 (primary) 11R06 (secondary) | |
| dc.title | Salem-Boyd sequences and Hopf plumbing | |
| dc.type | text |