6 papers
Characterization and Further Applications of the Bar-Natan Zh-Construction
Micah Chrisman, Robert G. Todd
Bar-Natan's Zh-construction associates to each component virtual link diagram an component virtual link diagram . If are equivalent virtual link di…
Relating virtual knot invariants to links in
Micah Chrisman, Robert G. Todd
Geometric interpretations of some virtual knot invariants are given in terms of invariants of links in . Alexander polynomials of almost classical knots are shown to…
A cellular basis for the generalized Temperly-Lieb Algebra and Mahler Measure
Xuanting Cai, Robert G. Todd
Just as the Temperley-Lieb algebra is a good place to compute the Jones polynomial, the Kauffman bracket skein algebra of a disk with colored points on the boundary, each with…
4-moves and the Dabkowski-Sahi invariant for knots
Mark Brittenham, Susan Hermiller, Robert Todd
We study the 4-move invariant \crl\ for links in the 3-sphere developed by Dabkowski and Sahi, which is defined as a quotient of the fundamental group of the link complement. We de…
The W-polynomial and the Mahler Measure of the Kauffman Bracket
Robert G. Todd
The W-polynomial is applied in two ways to questions involving the Kauffman bracket of some families of links. First we find a geometric property of a link diagram, which is less t…
Khovanov Homology and the Twist Number of Alternating Knots
Robert G. Todd
X.S. Lin and O. Dasbach proved that the sum of the absolute value of the second and penultimate coefficients of the Jones polynomial of an alternating knot is equal to the twist nu…