Non-standard components of the character variety for a family of Montesinos knots

Abstract

We show that there are Montesinos knots with $n+1\ge 4$ tangles whose character varieties contain arbitrarily many irreducible components of dimension $d$ for any $1\le d\le n-2$. Moreover, these irreducible components can be chosen so that the trace of the meridian is non-constant.

arXiv comment26 pages, 6 figures

Cited by in corpus (3)

• Finiteness of the image of the Reidemeister torsion of a splice
• The $\mathrm{SL}(2,\mathbb{C})$-character variety of a Montesinos knot
• The adjoint Reidemeister torsion for the connected sum of knots