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Augmented Teichmüller spaces
Bulletin of the American Mathematical Society
The augmented Teichmiiller space T, of a finitely generated Fuchsian group G of the first kind or a conformally finite Riemann surface S with signature, consists of the usual Teichmiiller space T together with the regular Z?-groups on its boundary. The structure of the regular Z?-groups has been studied in  (see also Marden  and Maskit  ). The usual topology on T given by the Bers embedding of T in the space of bounded quadratic differentials has a natural extension to T. The extensiondoi:10.1090/s0002-9904-1976-14049-9 fatcat:dmsi4gctkbh5xmgqmb4eci27fq