Constructing infinitely many geometric triangulations of the figure eight knot complement
نویسندگان
چکیده
منابع مشابه
Constructing thin subgroups commensurable with the figure-eight knot group
In this paper we find infinitely many lattices in SL(4,R) each of which contains thin subgroups commensurable with the figure-eight knot group.
متن کاملHyperbolic Geometry on the Figure-Eight Knot Complement
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...
متن کاملGeodesic Knots in the Figure-Eight Knot Complement
CONTENTS We address the problem of topologically characterising simple
متن کاملA 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...
متن کاملBranched Spherical Cr Structures on the Complement of the Figure Eight Knot
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2016
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13076