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math.GT2025
Affine representations of rational and pretzel knots
Javier Martínez
We construct and study representations of rational and pretzel tangle and knot groups into the affine group , via a TQFT that is valued in the category…
math.GT2025
Representations of knot groups in 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 of affine transformations of the…