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math.GT2022★ 1 cited
Conway Rational Tangles and the Thompson Group
Ariana Grymski, Emily Peters
There is a map, defined and studied by Jones, from Thompson's group to knots. Jones proved that every knot is in the image of this map -- that is, that every knot can be seen a…
math.GT2019★ 1 cited
Combinatorial Random Knots
Andrew Ducharme, Emily Peters
We explore free knot diagrams, which are projections of knots into the plane which don't record over/under data at crossings. We consider the combinatorial question of which free k…