Gauss diagrams of real and virtual knots in the solid torus

Mathematics – Geometric Topology

Scientific paper

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19 pages, 15 figures

Scientific paper

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 diagram can be fully recovered from its decorated Gauss
diagram, and we use it to establish a characterization of the decorated Gauss
diagrams of closed braids.

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