Katok–Katok conjecture on cohomology of standard partially hyperbolic actions
Let α\alphaα be a standard partially hyperbolic action of Z+d\mathbb{Z}_+^dZ+d, Zd\mathbb{Z}^dZd, or Rd\mathbb{R}^dRd, where d≥2d\geq2d≥2. For nnn-cohomology, the smooth nnn-cohomology is the…