Computing Ribbon Obstructions for Colored Knots

Authors

Patricia Cahn, Smith CollegeFollow
Alexandra Kjuchukova, Max Planck Institute for Mathematics

Document Type

Article

Publication Date

1-1-2021

Publication Title

Fundamenta Mathematicae

Abstract

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.

Keywords

4-manifold, Branched cover, Knot, Signature

Volume

253

Issue

2

First Page

155

Last Page

173

DOI

10.4064/fm767-7-2020

ISSN

00162736

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.

Comments

Peer reviewed accepted manuscript.

Recommended Citation

Cahn, Patricia and Kjuchukova, Alexandra, "Computing Ribbon Obstructions for Colored Knots" (2021). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/114