Distortion of Mappings and $L_{q,p}$-Cohomology
  We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the $L_{q,p}$-cohomology of these manifolds. Some applications to vanishing and non vanishing results in $L_{q,p}$-cohomology are given. 
Vladimir Gol'dshtein, Marc Troyanov