Introduction to Topological Quantum Computation

Any suggestions on how to get started on this topic, or anyons in general? I finished math & phys undergrad, but not sure how to dive in.

I read the relevant chapter from Preskill's Quantum Computation lecture notes (http://www.theory.caltech.edu/~preskill/ph219/topological.pd...), and gave (80% of) the review article "Non-Abelian Anyons and Topological Quantum Computation" (https://arxiv.org/abs/0707.1889) a read, along with some of the foundational papers (ex Moore & Reed). Now that I'll have some more time, I plan to pick up a copy of "Quantum Groups" (https://link.springer.com/book/10.1007%2F978-1-4612-0783-2) and learn the topology prereqs over the summer.

My issue is that the field is so new that there isn't an established body of Anyon Literature. Can anyone offer some guidance on how to gain proficiency?

Alternatively "Mathematics of Topological Quantum Computing" Eric C. Rowell, Zhenghan Wang https://arxiv.org/abs/1705.06206

I don't know anything at all about this topic

last time I tried to learn this I got stuck on the F matrices. Maybe I'll try again.