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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…
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…
Character varieties of torus links
Ángel González-Prieto, Javier Martínez, Vicente Muñoz
In this paper, we study the geometry of the moduli space of representations of the fundamental group of the complement of a torus link into an algebraic group G, an algebraic varie…
Stratification of -character varieties of twisted Hopf links
Ángel González-Prieto, Marina Logares, Javier Martínez +1
We describe the geometry of the character variety of representations of the fundamental group of the complement of a Hopf link with twists, namely $Γ_{n}=\langle x,y \,| \, [x^…