Literature suggestions please (Topological Quantum Computers)

[Stal]

Hi, I will be starting my research in topological QC (based on non abelian anyons following the work of A. Yu. Kitaev). To begin understanding this theory, I need to develop a background in the braiding group used to describe anyons, fault tolerance in quantum computers and probably condensed matter as well (to review fractional quantum hall effect in detail).

I have taken courses in HEP, Quantum information and Group theory but not explicitly in topology.
I have tried finding resources but this is a relatively new research so getting in on this research is a bit tedious specially when I don't have a proper background, I hope someone can guide me through it.
Thank you for your time.

 

[Demystifier]

Some standard books in the field:
Z. Wang, Topological Quantum Computation (2010)
A. Khare, Fractional Statistics and Quantum Theory (2005)