Some Fibered and Non-fibered Links at Infinity of Hyperbolic Complex Line Arrangements
نویسندگان
چکیده
An arrangement L of k pairwise non-parallel lines in the complex hyperbolic plane H(C) has a link at infinity K∞(L) comprising k unknotted circles in S, whose topology reflects the combinatorics of L “at infinity”. Many links at infinity are far from being fibered; but if L = C LR is the complexification of a connected hyperbolic R-line arrangement LR ⊂ H(R), then K∞(L) is fibered. §
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