Sometimes I have some ideas while reading papers and I put them down here. Maybe there is someone who would like to work on one of these with me.
Geometric quantization and the path integral in Chern-Simons theory. In Witten’s paper on the Jones polynomial, he made a fascinating remark about how the “trace” appearing in the path integral should itself be expressed as a path integral. In this way one reveals the geometric “bare bones” of the theory in all its glory. It would be great to follow up on this remark.
Baez and Munian
We have a group working through the following book:
Baez and Munian, Gauge fields, knots and gravity, World Scientific (1994).