Rational Mode Locking for Homeomorphisms of the 2-Torus

Patrice Le Calvez, Salvador Addas-Zanata

Let $f:{\mathrm{T}}^2\to {\mathrm{T}}^2$ be a homeomorphism homotopic to the identity, $\tilde{f}:\mathrm{I}{\mathrm{R}}^2\to \mathrm{I}{\mathrm{R}}^2$ be a fixed lift a…