Any Baumslag-Solitar action on surfaces with a pseudo-Anosov element has a finite orbit

Nancy Guelman, Isabelle Liousse

We consider $f,h$ homeomorphims generating a faithful $BS(1,n)$-action on a closed surface $S$, that is, $hf{h}^{-1}=f^n$, for some $n\ge 2$. According to \cite{GL}, after rep…