Kjuchukova's p invariant gives a ribbon obstruction for Fox p-colored knots. The invariant is derived from dihedral branched covers of 4-manifolds, and can be used to calculate the signatures of these covers when singularities on the branching sets are present. In this note, we give an algorithm for evaluating p from a colored knot diagram, and compute a couple of examples.
4-manifold, Branched cover, Knot, Signature
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Cahn, Patricia and Kjuchukova, Alexandra, "Computing Ribbon Obstructions for Colored Knots" (2021). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.