Representations of knot groups in ${\text{AGL}}_1(\mathbb{C})$ and Alexander invariants

Ángel González-Prieto, Javier Martínez, Vicente Muñoz

This paper reinterprets Alexander-type invariants of knots via representation varieties of knot groups into the group ${\text{AGL}}_1(\mathbb{C})$ of affine transformations of the…