A while back I wrote a short review of this book, an introduction to these topics and the mathematics behind them. The nickel version is that you should put down what you’re doing and purchase this book immediately.
At some point I started doing a majority of the exercises in the book, even typing them up in LaTeX. Eventually I got a tablet computer and started writing them up in Xournal. I ran out of steam somewhere around Chern-Simons theory, but posted what I had on my website. I'm moving them over to this repository in the hope that you may be interested in contributing your solutions as well.