Mathematics > Geometric Topology
[Submitted on 22 Dec 2018 (v1), last revised 29 Aug 2020 (this version, v2)]
Title:Computing Ribbon Obstructions for Colored Knots
View PDFAbstract:Kjuchukova's $\Xi_p$ invariant gives a ribbon obstruction for Fox $p$-colored knots. The invariant is derived from dihedral branched covers of 4-manifolds, and is needed to calculate the signatures of these covers, when singularities on the branching sets are present. In this note, we give an algorithm for evaluating $\Xi_p$ from a colored knot diagram, and compute a couple of examples.
Submission history
From: Alexandra Kjuchukova [view email][v1] Sat, 22 Dec 2018 16:18:43 UTC (3,205 KB)
[v2] Sat, 29 Aug 2020 20:56:47 UTC (3,198 KB)
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