A spherical CR structure on the complement of the figure eight knot with discrete holonomy

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dc.creatorFalbel, Elisha
dc.date2005-03-28
dc.date.accessioned2026-07-07T05:18:33Z
dc.date.available2026-07-07T05:18:33Z
dc.descriptionWe describe a general geometrical construction of spherical CR structures. We construct then spherical CR structures on the complement of the figure eight knot and the Whitehead link. They have discrete holonomies contained in $PU(2,1,{\bf Z}[ω])$ and $PU(2,1,{\bf Z}[i])$ respectively. These are the same ring of integers appearing in the real hyperbolic geometry of the corresponding links.
dc.description17 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0503640
dc.identifierhttp://arxiv.org/abs/math/0503640
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74701
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32V05, 32H20
dc.titleA spherical CR structure on the complement of the figure eight knot with discrete holonomy
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