Planar Baumslag-Solitar actions

Abstract

Following previous work, where representations of $BS(1,n)$ by planar orientation preserving homeomorphisms with linear diagonalizable conjugating element was studied, we consider the elliptic and parabolic cases. As an application, we prove that there are no faithful representations of $BS(1,n)$ by toral homeomorphisms with conjugating element the Dehn twist map.

The contents of this paper appear now in the new version of "On some planar Baumslag-Solitar actions" 1703.09102