70 citations · 207 across the 11 of their papers we have counts for
12 papers
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…
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…
The Extended Haagerup fusion categories
Pinhas Grossman, Scott Morrison, David Penneys +2
In this paper we construct two new fusion categories and many new subfactors related to the exceptional Extended Haagerup subfactor. The Extended Haagerup subfactor has two even pa…
Categories generated by a trivalent vertex
Scott Morrison, Emily Peters, Noah Snyder
This is the first paper in a general program to automate skein theoretic arguments. In this paper, we study skein theoretic invariants of planar trivalent graphs. Equivalently, we…
Subfactors of index exactly 5
Masaki Izumi, Scott Morrison, David Penneys +2
We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness r…
Calculating two-strand jellyfish relations
David Penneys, Emily Peters
We construct subfactors where one of the principal graphs is a spoke graph using an algorithm which computes two-strand jellyfish relations. One of the subfactors we construct is a…