Around the fine curve graph of the torus
Recent work by Bowden, Hansel, Militon, Man, and Webb (generalised by Guihéneuf and Militon) suggests the possibility of a rich dictionary between the fine graph and the dynamical properties of torus homeomorphisms, especially the famous rotation set. In this direction, we show a connection between the rotation set and the limit points at infinity.
Joint work with Sebastian Hensel.