9 citations · 12 across the 4 of their papers we have counts for
4 papers
Surgery description of colored knots
R. A. Litherland, Steven D. Wallace
The pair (K,r) consisting of a knot K and a surjective map r from the knot group onto a dihedral group is said to be a p-colored knot. D. Moskovich conjectured that for any odd pri…
Quadratic quandles and their link invariants
Richard A. Litherland
Carter, Jelsovsky, Kamada, Langford and Saito have defined an invariant of classical links associated to each element of the second cohomology of a finite quandle. We study these i…
The Betti numbers of some finite racks
R. A. Litherland, Sam Nelson
We show that the lower bounds for Betti numbers given in math.GT/9909161 are equalities for a class of racks that includes dihedral and Alexander racks. We confirm a conjecture fro…
The homology of abelian coverings of knotted graphs
R. A. Litherland
Let N be a regular branched cover of a homology 3-sphere M with deck group G isomorphic to Z_2^d and branch set a trivalent graph Gamma; such a cover is determined by a coloring of…