On links with cyclotomic Jones polynomials
| dc.creator | Champanerkar, Abhijit | |
| dc.creator | Kofman, Ilya | |
| dc.date | 2006-05-23 | |
| dc.date | 2009-04-30 | |
| dc.date.accessioned | 2026-07-07T13:10:03Z | |
| dc.date.available | 2026-07-07T13:10:03Z | |
| dc.description | We show that if {L_n} is any infinite sequence of links with twist number tau(L_n) and with cyclotomic Jones polynomials of increasing span, then lim sup tau(L_n)=infty. This implies that any infinite sequence of prime alternating links with cyclotomic Jones polynomials must have unbounded hyperbolic volume. The main tool is the multivariable twist--bracket polynomial, which generalizes the Kauffman bracket to link diagrams with open twist sites. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 14 October 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0605631 | |
| dc.identifier | http://arxiv.org/abs/math/0605631 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 1655-1668 | |
| dc.identifier | doi:10.2140/agt.2006.6.1655 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228936 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 26C10 | |
| dc.title | On links with cyclotomic Jones polynomials | |
| dc.type | text |