Topology Proceedings 33 (2009), pp. 319-341

Slices on the boundary of Schottky space of genus 2

Raquel Águeda

Let R be the deformation space of free Kleinian groups generated by a parabolic and a loxodromic element, which correspond to representations into PSL(2, C) of the fundamental group of a doubly cusped handlebody M whose boundary surface is a twice punctured torus. In this paper we show that this parameter space appears as the natural generalization of 1-complex dimensional slices which lie on its boundary: the Maskit embedding of a once punctured torus and the Riley slice of a four punctured sphere.

Keywords: Kleinian groups, Teichmüller theory

Mathematics Subject Classification: 30F40, 32G15

Document formats: PDF file 221.4 Kb

Topology Proceedings, Volume 33 (2009)
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