Wild knots in higher dimensions as limit sets of Kleinian groups

Margareta Boege; Gabriela Hinojosa; Alberto Verjovsky

Wild knots in higher dimensions as limit sets of Kleinian groups

Geometric Topology 2009-08-25 v2 Dynamical Systems

Authors: Margareta Boege , Gabriela Hinojosa , Alberto Verjovsky

Abstract

In this paper we construct infinitely many wild knots, $\mathbb{S}^{n}\hookrightarrow\mathbb{S}^{n+2}$ , 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

Keywords

wild knots higher dimensions limit sets Kleinian groups geometrically finite sphere embeddings

Cite

@article{arxiv.0907.1429,
  title  = {Wild knots in higher dimensions as limit sets of Kleinian groups},
  author = {Margareta Boege and Gabriela Hinojosa and Alberto Verjovsky},
  journal= {arXiv preprint arXiv:0907.1429},
  year   = {2009}
}

Comments

Accepted in Conformal Theory and Dynamical Systems (AMS)

Wild knots in higher dimensions as limit sets of Kleinian groups

Abstract

Keywords

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