منابع مشابه
Principal Congruence Link Complements
Let d be a square-free positive integer, let Od denote the ring of integers in Q( √ −d), and let Qd denote the Bianchi orbifold H/PSL(2,Od). A non-compact finite volume hyperbolic 3-manifold X is called arithmetic if X and Qd are commensurable, that is to say they share a common finite sheeted cover (see [26] Chapter 8 for more on this). If N is a closed orientable 3-manifold and L ⊂ N a link, ...
متن کاملRegular Tessellation Link Complements
By a regular tessellation, we mean any hyperbolic 3-manifold tessellated by ideal Platonic solids such that the symmetry group acts transitively on oriented flags. A regular tessellation has an invariant we call the cusp modulus. For small cusp modulus, we classify all regular tessellations. For large cusp modulus, we prove that a regular tessellations has to be infinite volume if its fundament...
متن کاملThurston’s Congruence Link
Klein’s quartic curve may be described as the Riemann surface obtained by taking the quotient of H by the (principal congruence) subgroup Γ(7) = ker {PSL2(Z) → PSL2(Z/7Z)}, and filling points in the cusps (punctures) to get a closed surface (although the punctured surface is sometimes also referred to as Klein’s quartic). It has a cell decomposition by 24 heptagons, centered at each cusp coming...
متن کاملIncompressible Surfaces in Link Complements
A link L in S has a 2n-plat projection for some n, as shown in Figure 1, where a box on the i-th row and j-th column consists of 2 vertical strings with aij left-hand half twist; in other words, it is a rational tangle of slope 1/aij. See for example [BZ]. Let n be the number of boxes in the even rows, so there are n − 1 boxes in the odd rows. Let m be the number of rows in the diagram. It was ...
متن کاملGalois Orbits of Principal Congruence Hecke Curves
We show that the natural action of the absolute Galois group on the ideals defining principal congruence subgroups of certain nonarithmetic Fuchsian triangle groups is compatible with its action on the algebraic curves that these congruence groups uniformize.
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2014
ISSN: 0240-2963
DOI: 10.5802/afst.1436