S ep 2 00 5 A wild knot S 2 →֒ S 4 as limit set of a Kleinian Group : Indra ’ s pearls in four dimensions
نویسنده
چکیده
The purpose of this paper is to construct an example of a 2-knot wildly embedded in S4 as the limit set of a Kleinian group. We find that this type of wild 2-knots has very interesting topological properties.
منابع مشابه
ul 2 00 9 Wild knots in higher dimensions as limit sets of Kleinian groups ∗
In this paper we construct infinitely many wild knots, Sn →֒ S, for n = 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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متن کاملar X iv : m at h / 05 05 11 4 v 2 [ m at h . G T ] 2 8 M ay 2 00 5 Shadows of mapping class groups : capturing convex co - compactness
A Kleinian group Γ is a discrete subgroup of PSL2(C). When non-elementary, such a group possesses a unique non-empty minimal closed invariant subset ΛΓ of the Riemann sphere, called the limit set. A Kleinian group acts properly discontinuously on the complement ∆Γ of ΛΓ and so this set is called the domain of discontinuity. Such a group is said to be convex co-compact if it acts co-compactly on...
متن کاملar X iv : m at h / 05 05 11 4 v 1 [ m at h . G T ] 6 M ay 2 00 5 Shadows of mapping class groups : capturing convex co - compactness
A Kleinian group Γ is a discrete subgroup of PSL2(C). When non-elementary, such a group possesses a unique non-empty minimal closed invariant subset ΛΓ of the Riemann sphere, called the limit set. A Kleinian group acts properly discontinuously on the complement ∆Γ of ΛΓ and so this set is called the domain of discontinuity. Such a group is said to be convex co-compact if it acts co-compactly on...
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تاریخ انتشار 2003