Abstract

Keen, Maskit and Series (1993 J. Reine. Angew. Math. 436 209-19) have shown that maximally parabolic finitely generated Kleinian groups are conformally rigid and that their limit sets are (round) circle-packings. We consider perturbations of maximally parabolic representations of a free product C4*C2 of cyclic groups in the wider context of holomorphic correspondences on the Riemann sphere (multivalued maps defined by polynomial relations), and we show how the limit sets may now be deformed quasi-conformally.

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