9 citations · 30 across the 9 of their papers we have counts for
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math.GT2012★ 4 cited
Polyak type equations for virtual arrow diagram formulas in the annulus
Arnaud Mortier
We describe the space of arrow diagram formulas for virtual knot diagrams in the annulus as the kernel of a linear map, inspired from a conjecture due to M. Polyak. As a main appli…
math.GT2012★ 2 cited
Gauss diagrams of real and virtual knots in the solid torus
Arnaud Mortier
We define a new kind of Gauss diagrams to describe knots in the solid torus with projections in the annulus. We see that it provides an efficient tool for showing that a knot diagr…