Motive of the representation varietes of torus knots for low rank affine groups

González Prieto, José ÁngelLogares Jiménez, Marina LucíaMuñoz Velázquez, Vicente2023-06-222023-06-222022-08-27https://hdl.handle.net/20.500.14352/71923We compute the motive of the variety of representations of the torus knot of type (m, n) into the affine groups AGL1(C) and AGL2(C). For this, we stratify the varieties and show that the motives lie in the subring generated by the Lefschetz motive q = [C].engMotive of the representation varietes of torus knots for low rank affine groupsjournal articleopen access512.7Geometria algebraica1201.01 Geometría Algebraica