Eliminating Thurston obstructions and controlling dynamics on curves

Mario Bonk, Mikhail Hlushchanka, Annina Iseli

Every Thurston map $f:S^2\to S^2$ on a $2$-sphere $S^2$ induces a pull-back operation on Jordan curves $\alpha \subset S^2\setminus P_f$, where $P_f$ is the postcritical se…