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.
@article{1147883395,
author = {Taniguchi, Masahiko},
title = {The Teichm\"uller space of the ideal boundary},
journal = {Hiroshima Math. J.},
volume = {36},
number = {1},
year = {2006},
pages = { 39-48},
language = {en},
url = {http://dml.mathdoc.fr/item/1147883395}
}
Taniguchi, Masahiko. The Teichmüller space of the ideal boundary. Hiroshima Math. J., Tome 36 (2006) no. 1, pp. 39-48. http://gdmltest.u-ga.fr/item/1147883395/