In this work, we compute the representation of the mapping class group of the sphere with 4 punctures arising from the non semi-simple TQFT (constructed by Blanchet--Costantino--Geer--Patureau). We show that it is faithful. Lastly, we compare quantum representations of punctured spheres in general with those of braid groups.
@article{arxiv.2006.07079,
title = {The non semi-simple TQFT of the sphere with four punctures},
author = {Jules Martel},
journal= {arXiv preprint arXiv:2006.07079},
year = {2020}
}