Tracefree $\mathrm{SL}(2,\mathbb{C})$-representations of Montesinos links

Abstract

Given a link $L$, a representation ${\pi }_1(S^3-L)\to \mathrm{SL}(2,\mathbb{C})$ is {\it tracefree} if the image of each meridian has trace zero. We determine the conjugacy classes of tracefree representations when $L$ is a Montesinos link.

11 pages, 5 figures, accepted by JKTR

References in corpus (1)

• The pillowcase and perturbations of traceless representations of knot groups

Cited by in corpus (3)

• Character varieties of even classical pretzel knots
• The $\mathrm{SL}(2,\mathbb{C})$-character variety of a Montesinos knot
• Trace-free $\mathrm{SL}(2,\mathbb{C})$-representations of arborescent links