3 papers
math.GT2023
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…
math.GT2012
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…
math.GT2006
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…