Knotted Histories
نویسندگان
چکیده
منابع مشابه
Minimally Knotted Spatial Graphs are Totally Knotted
Applying Jaco’s Handle Addition Lemma, we give a condition for a 3-manifold to have an incompressible boundary. As an application, we show that the boundary of the exterior of a minimally knotted planar graph is incompressible.
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The dynamical model on 3+1 dimensional space-time admitting soliton solutions is discussed. The proposal soliton is localized in the vicinity of a closed contour, which could be linked and/or knotted. The topological charge is Hopf invariant. Some applications in realistic physical systems are indicated. 2000 Mathematics Subject Classification: 35Q51, 35S35, 65C20, 81V25.
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We present computer simulations to examine probability distributions of gyration radius for the no-thickness closed polymers of N straight segments of equal length. We are particularly interested in the conditional distributions when the topology of the loop is quenched to be a certain knot K. The dependence of probability distribution on length, N , as well as topological state K are the prima...
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For H n a homology n-sphere, consider the problem of classifying locally flat imbeddings H n•'-• S n+2 up to isotopy. Since any imbedding may be altered by adding knots S n• S n+2, the classification problem is at least as complex as the isotopy classification of knots. Elsewhere [8] we show that there is a natural correspondence between k ot heory and the classification of those imbeddings H n...
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For every knot K with stick number k there is a knotted polyhedral torus of knot type K with 3k vertices. We prove that at least 3k − 2 vertices are necessary.
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ژورنال
عنوان ژورنال: The Journal of New Zealand Studies
سال: 2021
ISSN: 2324-3740,1173-6348
DOI: 10.26686/jnzs.v0ins29.6264