87 citations · 599 across the 27 of their papers we have counts for
14 papers · 1 filter
Skein theory and deformations
Noah Snyder, Benjamin Spencer
We use skein theoretic `recognition' theorems to classify deformations of certain pivotal or ribbon monoidal categories. We first show that a slight generalization of Kuperberg's c…
Towards the quantum exceptional series
Kim Morrison, Noah Snyder, Dylan P. Thurston
We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional relation, that specializes to a skein relation associated to each exceptional Lie algebra…
Invertible braided tensor categories
Adrien Brochier, David Jordan, Pavel Safronov +1
We prove that a finite braided tensor category A is invertible in the Morita 4-category BrTens of braided tensor categories if, and only if, it is non-degenerate. This includes the…
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…
On dualizability of braided tensor categories
Adrien Brochier, David Jordan, Noah Snyder
We study the question of dualizability in higher Morita categories of locally presentable tensor categories and braided tensor categories. Our main results are that the 3-category…
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…