Abstract

In this paper we give a necessary and sufficient condition in which a sequence of Kleinian punctured torus groups converges. This result tells us that every exotically convergent sequence of Kleinian punctured torus groups is obtained by the method due to Anderson and Canary (Invent. Math. 1996). Thus we obtain a complete description of the set of points at which the space of Kleinian punctured torus groups self-bumps. We also discuss Hausdorff limits of sequences of Bers slices.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 861-889
Launched on MUSE
2012-07-25
Open Access
No
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