Computing Ribbon Obstructions for Colored Knots
Geometric Topology
2021-07-09 v2
Abstract
Kjuchukova's invariant gives a ribbon obstruction for Fox -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 from a colored knot diagram, and compute a couple of examples.
Cite
@article{arxiv.1812.09553,
title = {Computing Ribbon Obstructions for Colored Knots},
author = {Patricia Cahn and Alexandra Kjuchukova},
journal= {arXiv preprint arXiv:1812.09553},
year = {2021}
}
Comments
14 pages. 0 footnotes. Changes to exposition and new example. To appear in Fundamenta Mathematicae. Originally part of arXiv:1710.11562