Mahler measure of Alexander polynomials
| dc.creator | Silver, Daniel S. | |
| dc.creator | Williams, Susan G. | |
| dc.date | 2001-05-28 | |
| dc.date | 2002-10-03 | |
| dc.date.accessioned | 2026-07-07T04:41:53Z | |
| dc.date.available | 2026-07-07T04:41:53Z | |
| dc.description | Let l be an oriented link of d components in a homology 3-sphere. For any nonnegative integer q, let l(q) be the link of d-1 components obtained from l by performing 1/q surgery on the dth component. Then the Mahler measure of the Alexander polynomial of l(q) converges to the Mahler measure of the Alexander polynomial of l as q goes to infinity, provided that some other component of l has nonzero linking number with the dth. Otherwise, the Mahler measure of the Alexander polynomial of l(q) has a well-defined bu different limiting behavior. Examples are given of links for which the Mahler measure of the Alexander polynomial is small. Possible connection with hyperbolic volume are discussed. | |
| dc.description | 18 pages, 8 figures. Small revisions and corrections | |
| dc.identifier | https://arxiv.org/abs/math/0105234 | |
| dc.identifier | http://arxiv.org/abs/math/0105234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61548 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | 57M25 (primary); 37B10, 11R06 (secondary) | |
| dc.title | Mahler measure of Alexander polynomials | |
| dc.type | text |