9 citations · 19 across the 5 of their papers we have counts for
4 papers
Shifting Homomorphisms in Quandle Cohomology and Skeins of Cocycle Knot Invariants
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
Homomorphisms on quandle cohomology groups that raise the dimensions by one are studied in relation to the cocycle state-sum invariants of knots and knotted surfaces. Skein relatio…
Quandle Homology Groups, Their Betti Numbers, and Virtual Knots
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
Lower bounds of betti numbers for homology groups of racks and quandles will be given using the quotient homomorphism to the orbit quandles. Exact sequences relating various types…
Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
State-sum invariants for knotted curves and surfaces using quandle cohomology were introduced by Laurel Langford and the authors in math.GT/9903135 In this paper we present methods…
Quandle Cohomology and State-sum Invariants of Knotted Curves and Surfaces
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +2
The 2-twist spun trefoil is an example of a sphere that is knotted in 4-dimensional space. Here this example is shown to be distinct from the same sphere with the reversed orientat…