3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2007
Pure Virtual Braids Homotopic to the Identity Braid
H. A. Dye
Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing change…
math.GT2005
Non-Trivial Realizations of Virtual Link Diagrams
H. A. Dye
A realization of a virtual link diagram is obtained by choosing over/under markings for each virtual crossing. Any realization can also be obtained from some representation of the…
math.GT2004★ 3 cited
Virtual knots undetected by 1 and 2-strand bracket polynomials
H. A. Dye
Kishino's knot is not detected by the fundamental group or the bracket polynomial; these invariants cannot differentiate between Kishino's knot and the unknot. However, we can show…