23 citations · 176 across the 36 of their papers we have counts for
4 papers · 1 filter
Splittings of knot groups
Stefan Friedl, Daniel S. Silver, Susan G. Williams
Let K be a knot of genus g. If K is fibered, then it is well known that the knot group pi(K) splits only over a free group of rank 2g. We show that if K is not fibered, then pi(K)…
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…
Virtual Genus of Satellite Links
Daniel S. Silver, Susan G. Williams
The virtual genus of a virtual satellite link is equal to that of its companion.
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…