70 citations · 207 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Knot polynomial identities and quantum group coincidences
Scott Morrison, Emily Peters, Noah Snyder
We construct link invariants using the subfactor planar algebras, and use these to prove new identities relating certain specializations of colored Jones polynomials to sp…
Skein theory for the D_{2n} planar algebras
Scott Morrison, Emily Peters, Noah Snyder
We give a combinatorial description of the `` planar algebra,'' by generators and relations. We explain how the generator interacts with the Temperley-Lieb braiding. This s…