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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Wild knots in higher dimensions as limit sets of Kleinian groups
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by Margareta Boege, Gabriela Hinojosa and Alberto Verjovsky PDF
Conform. Geom. Dyn. 13 (2009), 197-216 Request permission

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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Additional Information
  • Margareta Boege
  • Affiliation: Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México. Av. Universidad s/n, Col. Lomas de Chamilpa, Cuernavaca, Morelos, México 62209
  • Email: margaret@matcuer.unam.mx
  • Gabriela Hinojosa
  • Affiliation: Facultad de Ciencias, Universidad Autónoma del Estado de Morelos. Av. Universidad 1001, Col. Chamilpa. Cuernavaca, Morelos, México 62209
  • Email: gabriela@buzon.uaem.mx
  • Alberto Verjovsky
  • Affiliation: Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Av. Universidad s/n, Col. Lomas de Chamilpa, Cuernavaca, Morelos, México 62209
  • ORCID: setImmediate$0.21247121077052256$2
  • Email: alberto@matcuer.unam.mx
  • Received by editor(s): May 6, 2008
  • Published electronically: September 9, 2009
  • Additional Notes: The first author’s research was partially supported by PFAMU-DGAPA
    The second author’s research was partially supported by CONACyT CB-2007/83885
    The third author’s research was partially supported by CONACyT proyecto U1 55084, and PAPIIT (Universidad Nacional Autónoma de México) #IN102108
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 13 (2009), 197-216
  • MSC (2000): Primary 57M30; Secondary 57M45, 57Q45, 30F40
  • DOI: https://doi.org/10.1090/S1088-4173-09-00198-2
  • MathSciNet review: 2540704