On $C^r$-generic twist maps of ${\mathrm{T}}^2$

Salvador Addas-Zanata

We consider twist diffeomorphisms of the torus, $f:{\mathrm{T}}^2\to {\mathrm{T}}^2,$ and their vertical rotation intervals ${\rho }_V(\hat{f})=[{\rho }_V^{-},{\rho }_V^{+}],$ where $\hat{f}$ is a l…