The Franks-Misiurewicz conjecture for extensions of irrational rotations
  We show that a toral homeomorphism which is homotopic to the identity and topologically semiconjugate to an irrational rotation of the circle is always a pseudo-rotation (i.e. its rotation set is a single point). In combination with recent results, this allows us to complete the study of the Franks-Misiurewicz conjecture in the minimal case. 
Andres Koropecki and Alejandro Passeggi and Mart\'in Sambarino
math.DS