A wild knot ${\mathbb{S}}^2\hookrightarrow {\mathbb{S}}^4$ as limit set of a Kleinian Group: Indra's pearls in four dimensions

Abstract

The purpose of this paper is to construct an example of a 2-knot wildly embedded in ${\mathbb{S}}^4$ as the limit set of a Kleinian group. We find that this type of wild 2-knots has very interesting topological properties.

35 pages, 18 figures