Character varieties of odd classical pretzel knots

Abstract

We determine the $\mathrm{SL}(2,\mathbb{C})$-character variety for each odd classical pretzel knot $P(2k_1+1,2k_2+1,2k_3+1)$, and present a method for computing its A-polynomial.

15 pages, 2 figures, accepted by Int. J. Math

Cited by in corpus (3)

• Character varieties of even classical pretzel knots
• The $\mathrm{SL}(2,\mathbb{C})$-character variety of a Montesinos knot
• Computing twisted Alexander polynomials for Montesinos links