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arXiv:2006.01810 [math.AG]AbstractReferencesReviewsResources

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

Angel González-Prieto, Vicente Muñoz

Published 2020-06-02Version 1

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.

Comments: 35 pages. Note: download source for the output of all the strata as separate file
Categories: math.AG, math.GT
Subjects: 14D20, 57M25, 57M27
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