114 citations · 921 across the 40 of their papers we have counts for
6 papers · 1 filter
The blob complex
Scott Morrison, Kevin Walker
Given an n-manifold M and an n-category C, we define a chain complex (the "blob complex") B_*(M;C). The blob complex can be thought of as a derived category analogue of the Hilbert…
Subfactors of index less than 5, part 2: triple points
Scott Morrison, David Penneys, Emily Peters +1
We summarize the known obstructions to subfactors with principal graphs which begin with a triple point. One is based on Jones's quadratic tangles techniques, although we apply it…
Subfactors of index less than 5, part 1: the principal graph odometer
Scott Morrison, Noah Snyder
In this series of papers we show that there are exactly ten subfactors, other than subfactors, of index between 4 and 5. Previously this classification was known up to i…
Cyclotomic integers, fusion categories, and subfactors
Frank Calegari, Scott Morrison, Noah Snyder
Dimensions of objects in fusion categories are cyclotomic integers, hence number theoretic results have implications in the study of fusion categories and finite depth subfactors.…
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…
Non-cyclotomic fusion categories
Scott Morrison, Noah Snyder
Etingof, Nikshych and Ostrik ask in arXiv:math.QA/0203060 if every fusion category can be completely defined over a cyclotomic field. We show that this is not the case: in particul…