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Motive of the representation varieties of torus knots for low rank affine groups
Published 28 Apr 2021 in math.AG | (2104.13651v1)
Abstract: We compute the motive of the variety of representations of the torus knot of type (m,n) into the affine groups $AGL_1(C)$ and $AGL_2(C)$. For this, we stratify the varieties and show that the motives lie in the subring generated by the Lefschetz motive q=[C].
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