Word sequences and intersection numbers
Jane Gilman, Linda Keen · Contemporary mathematics - American Mathematical Society · 2002
There are certain sequences of words in the generators of a two-generator subgroup of SL(2,C) that frequently arise in the Teichmüller theory of hyperbolic three-manifolds and Kleinian groups. In this pa-per we establish the connection between two such families, the family of Farey words that have been used by Keen-Series to understand the boundaries of the Quasifuchsian space of surfaces of type (1, 1) and the Schottky space of surfaces of type (0, 4) and the sequences of words that arise in discreteness algorithms for two-generator subgroups of SL(2,C) studied by Rosenberger-Purzitsky and Gilman-Maskit and Jiang. 1