A 1–parameter family of spherical CR uniformizations of the figure eight knot complement
نویسندگان
چکیده
منابع مشابه
A spherical CR structure on the complement of the figure eight knot with discrete holonomy
A spherical CR structure on the complement of the figure eight knot with discrete holonomy. Abstract We 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 P U (2, 1, Z[ω]) and P U (2, 1, Z[i]) respectively. These are the sam...
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We obtain a branched spherical CR structure on the complement of the figure eight knot whose holonomy representation was given in [4]. There are essentially two boundary unipotent representations from the complement of the figure eight knot into PU(2, 1), we call them ρ1 and ρ2. We make explicit some fundamental differences between these two representations. For instance, seeing the figure eigh...
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The exact relationship between knot theory and non-euclidean geometry was a puzzle that survived more than 100 years. The histories of the two subjects were clearly intertwined; Carl Friedrich Gauss was a pioneer and did much to popularize both fields. After Gauss their two histories diverge a little, although taken together the list of luminaries in the two fields reads like a mathematical and...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2016
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2016.20.3571