Rough Notes Repository

Date added: 18th January 2024

Description: Given a fusion ring, one might wish to determine all possible (braided) fusion categorifications along with the skeletal data (F and R-symbols) by solving the pentagon and hexagon equations.  Approaching this task (even for small fusion rings) can be taxing. Below, you can find a small selection of handworked solutions for simple examples.  Please note that I'm only considering unitary solutions over the complex field here. 

Date added: 6th November 2023

Description: Rough notes written as an extended response to a question ("Link invariants from Hecke relations of higher order") on MathOverflow.