Twisted Alexander polynomials of 2-bridge knots associated to metabelian representations
| dc.creator | Hirasawa, Mikami | |
| dc.creator | Murasugi, Kunio | |
| dc.date | 2009-03-10 | |
| dc.date.accessioned | 2026-07-07T12:50:49Z | |
| dc.date.available | 2026-07-07T12:50:49Z | |
| dc.description | Suppose the knot group G(K) of a knot K has a non-abelian representation ρon A_4 \subset GL(4,Z). We conjecture that the twisted Alexander polynomial of K associated to ρis of the form: Δ_K(t)/(1-t) ϕ(t^3), where Δ_K (t) is the Alexander polynomial of K and ϕ(t^3) is an integer polynomial in t^3. We prove the conjecture for 2-bridge knots K whose group G(K) can be mapped onto a free product Z/2*Z/3. Later, we discuss more general metabelian representations of the knot groups and propose a similar conjecture on the form of the twisted Alexander polynomials. | |
| dc.identifier | https://arxiv.org/abs/0903.1689 | |
| dc.identifier | http://arxiv.org/abs/0903.1689 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222798 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25,57M27 | |
| dc.title | Twisted Alexander polynomials of 2-bridge knots associated to metabelian representations | |
| dc.type | text |