Wild knots in higher dimensions as limit sets of Kleinian groups

Boege, Margareta; Hinojosa, Gabriela; Verjovsky, Alberto

doi:10.1090/S1088-4173-09-00198-2

Wild knots in higher dimensions as limit sets of Kleinian groups
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by Margareta Boege, Gabriela Hinojosa and Alberto Verjovsky

Conform. Geom. Dyn. 13 (2009), 197-216

DOI: https://doi.org/10.1090/S1088-4173-09-00198-2

Published electronically: September 9, 2009

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Abstract:

In this paper we construct infinitely many wild knots, $\mathbb {S}^{n}\hookrightarrow \mathbb {S}^{n+2}$, for $n=1,2,3,4$ and $5$, each of which is a limit set of a geometrically finite Kleinian group. We also describe some of their properties.

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