L-space knots
نویسندگان
چکیده
منابع مشابه
Montesinos knots, Hopf plumbings and L-space surgeries
Using Hirasawa-Murasugi’s classification of fibered Montesinos knots we classify the L-space Montesinos knots, providing further evidence towards a conjecture of Lidman-Moore that L-space knots have no essential Conway spheres. In the process, we classify the fibered Montesinos knots whose open books support the tight contact structure on S. We also construct L-space knots with arbitrarily larg...
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For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r < R(K) define satellite structures, or local knotting. We explore knotting within these tubes both theoretically and numerically. We provide bounds on perturbation radii for which we can see small trefoil and figure-eight su...
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It is proved that every knot in the major subfamilies of J. Berge’s lens space surgery (i.e., knots yielding a lens space by Dehn surgery) is presented by an L-shaped (real) plane curve as a divide knot defined by N. A’Campo in the context of singularity theory of complex curves. For each knot given by Berge’s parameters, the corresponding plane curve is constructed. The surgery coefficients ar...
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The probability that a random walk or polygon in the 3-space or in the simple cubic lattice contains a small knot, an ephemeral knot, or a slipknot goes to one as the length goes to infinity. The probability that a polygon or walk contains a “global” knot also goes to one as the length goes to infinity. What immerges is a highly complex picture of the length scale of knotting in polygons and wa...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2018
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x17007989