Principal Congruence Link Complements
نویسندگان
چکیده
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, then L is called arithmetic if N \ L is an arithmetic hyperbolic 3-manifold. In his list of problems in his Bulletin of the AMS article [33], Thurston states as Question 19:
منابع مشابه
Principal Congruence Links: Class Number Greater than 1
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