2023/08/01 by Bavier, Brandon, Doleshal, Brandy · 1 citation
#57K10 #57K14 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2308.00502
We compute the Jones polynomial for a three-parameter family of links, the twisted torus links of the form T((p,q),(2,s)) where p and q are coprime and s is nonzero. When s = 2n, these links are the twisted torus knots T(p,q,2,n). We show that for T(p,q,2,n), the Jones polynomial is trivial if and only if the knot is trivial.