# Character varieties of odd classical pretzel knots

## TL;DR

This paper computes the SL(2,C)-character varieties for odd classical pretzel knots and introduces a method to calculate their A-polynomials, advancing understanding of knot invariants.

## Contribution

It provides explicit character varieties for odd classical pretzel knots and a novel method for computing their A-polynomials.

## Key findings

- Explicit character varieties for all odd classical pretzel knots.
- A new method for calculating A-polynomials of these knots.
- Enhanced tools for studying knot invariants and their geometric properties.

## Abstract

We determine the ${\rm SL}(2,\mathbb{C})$-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.