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

Abstract

We compute the motive of the variety of representations of the torus knot of type (m,n) into the affine groups $AG{L}_1(C)$ and $AG{L}_2(C)$. For this, we stratify the varieties and show that the motives lie in the subring generated by the Lefschetz motive q=[C].

13 pages, no figures