66 citations · 232 across the 47 of their papers we have counts for
4 papers · 2 filters
Three-dimensional braids and their descriptions
J. Scott Carter, Seiichi Kamada
The notion of a braid is generalized into two and three dimensions. Two-dimensional braids are described by braid monodromies or graphics called charts. In this paper we introduce…
Invariants of Links in Thickened Surfaces
J. Scott Carter, Daniel S. Silver, Susan G. Williams
A group invariant for links in thickened closed orientable surfaces is studied. Associated polynomial invariants are defined. The group detects nontriviality of a virtual link and…
How to Fold a Manifold
J. Scott Carter, Seiichi Kamada
Techniques for constructing codimension 2 embeddings and immersions of the 2 and 3-fold branched covers of the 3 and 4-dimensional spheres are presented. These covers are in braide…
Three dimensions of knot coloring
J. Scott Carter, Daniel S. Silver, Susan G. Williams
This survey article discusses three aspects of knot colorings. Fox colorings are assignments of labels to arcs, Dehn colorings are assignments of labels to regions, and Alexander-B…