González Prieto, José ÁngelMuñoz Velázquez, Vicente2024-04-252024-04-252023-01-291660-54461660-545410.1007/s00009-023-02300-whttps://hdl.handle.net/20.500.14352/1035062023 Acuerdos transformativos CRUEIn this paper, we study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the -representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articleopen accessHopf linkRepresentation varietiesCharacter varietiesE-polynomialGeometria algebraica1201.01 Geometría Algebraica