High distance bridge surfaces
نویسندگان
چکیده
منابع مشابه
Multiple Bridge Surfaces Restrict Knot Distance
Suppose M is a closed irreducible orientable 3-manifold, K is a knot in M , P and Q are bridge surfaces for K and K is not removable with respect to Q. We show that either Q is equivalent to P or d(K,P ) ≤ 2 − χ(Q − K). If K is not a 2-bridge knot, then the result holds even if K is removable with respect to Q. As a corollary we show that if a knot in S has high distance with respect to some br...
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To each rational number p/q, with q odd, there is associated the 2-bridge knot Kp/q shown in Fig. 1. QI bl Fig. 1. The 2-bridge knot Kp/q In (a), the central grid consists of lines of slope +p/q, which one can imagine as being drawn on a square "pillowcase". In (b) this "pillowcase" is punctured and flattened out onto a plane, making the two "bridges" more evident. The knot drawn is K3/5, which...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2013
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2013.13.2925