Character varieties of even classical pretzel knots

Abstract

For each even classical pretzel knot $P(2k_1+1,2k_2+1,2k_3)$, we determine the character variety of irreducible $\mathrm{SL}(2,\mathbb{C})$-representations, and clarify the steps of computing its A-polynomial.

Final version, 13 pages, 1 page

References in corpus (2)

• On the characteristic and deformation varieties of a knot
• Character varieties of odd classical pretzel knots

Cited by in corpus (1)

• The $\mathrm{SL}(2,\mathbb{C})$-character variety of a Montesinos knot