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Motive of the $SL_4$-character variety of torus knots

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 نشر من قبل Vicente Munoz
 تاريخ النشر 2020
  مجال البحث
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In this paper, we compute the motive of the character variety of representations of the fundamental group of the complement of an arbitrary torus knot into $SL_4(k)$, for any algebraically closed field $k$. For that purpose, we introduce a stratification of the variety in terms of the type of a canonical filtration attached to any representation. This allows us to reduce the computation of the motive to a combinatorial problem.



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