In this paper, we consider an analytic kind of structure on the ideal boundary of a Riemann surface, which is finer than the topological one, and show that the set of the natural equivalence classes of mutually quasiconformally related such structures admits a complex Banach manifold structure.
"The Teichmüller space of the ideal boundary." Hiroshima Math. J. 36 (1) 39 - 48, March 2006. https://doi.org/10.32917/hmj/1147883395