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• W2957617707 endingPage "1510" @default.
• W2957617707 startingPage "1479" @default.
• W2957617707 abstract "Let $G$ be a nonabelian, simple group with a nontrivial conjugacy class $C subseteq G$. Let $K$ be a diagram of an oriented knot in $S^3$, thought of as computational input. We show that for each such $G$ and $C$, the problem of counting homomorphisms $pi_1(S^3setminus K) to G$ that send meridians of $K$ to $C$ is almost parsimoniously $mathsf{#P}$-complete. This work is a sequel to a previous result by the authors that counting homomorphisms from fundamental groups of integer homology 3-spheres to $G$ is almost parsimoniously $mathsf{#P}$-complete. Where we previously used mapping class groups actions on closed, unmarked surfaces, we now use braid group actions." @default.
• W2957617707 created "2019-07-23" @default.
• W2957617707 creator A5031305513 @default.
• W2957617707 creator A5034746029 @default.
• W2957617707 date "2021-08-11" @default.
• W2957617707 modified "2023-10-02" @default.
• W2957617707 title "Coloring invariants of knots and links are often intractable" @default.
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• W2957617707 doi "https://doi.org/10.2140/agt.2021.21.1479" @default.
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