${\mathrm{SL}}_2$ quantum trace in quantum Teichmüller theory via writhe

Hyun Kyu Kim, Thang T. Q. Lê, Miri Son

Quantization of the Teichmüller space of a punctured Riemann surface $S$ is an approach to $3$-dimensional quantum gravity, and is a prototypical example of quantization of cluster…