Trace moduli for quasifuchsian groups (Q1820276)

In earlier work [Advances Theory Riemann Surfaces, Proc. 1969, Stony Brook Conf., 205-224 (1971; Zbl 0237.32013)]; Ann. Math., II. Ser. 84, 404-420 (1966; Zbl 0146.315); Bull. Am. Math. Soc. 83, 1199-1226 (1977; Zbl 0404.32011)] the author considers the problem of finding moduli for the Teichmüller space of marked Fuchsian groups, T(G). The main idea is to decompose the Fuchsian group G into two-generator subgroups. She constructs fundamental polygons for these subgroups and then combines them into a single fundamental polygon P for the full group. Geometric moduli are determined as lengths of certain sides of P, and distances between particular pairs of the other sides. In this paper, the author generalize these results to a special class of quasifuchsian groups.