کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659742 1344335 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hyperbolicity of arborescent tangles and arborescent links
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Hyperbolicity of arborescent tangles and arborescent links
چکیده انگلیسی

In this paper, we study the hyperbolicity of arborescent tangles and arborescent links. We will explicitly determine all essential surfaces in arborescent tangle complements with non-negative Euler characteristic, and show that given an arborescent tangle T, the complement X(T) is non-hyperbolic if and only if T is a rational tangle, T=Qm*T′ for some m⩾1, or T contains Qn for some n⩾2. We use these results to prove a theorem of Bonahon and Siebenmann which says that a large arborescent link L is non-hyperbolic if and only if it contains Q2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 156, Issue 5, 15 February 2009, Pages 963-978