Studying links via closed braids IV: composite links and split links
نویسندگان
چکیده
منابع مشابه
Boring Split Links
Boring is an operation which converts a knot or two-component link in a 3–manifold into another knot or two-component link. It generalizes rational tangle replacement and can be described as a type of 2–handle attachment. Sutured manifold theory is used to study the existence of essential spheres and planar surfaces in the exteriors of knots and links obtained by boring a split link. It is show...
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Configuration and geometry of bracing systems affect the seismic performance of structures significantly. Recently, the current authors have introduced a new configuration for eccentric bracing of structural frames that may be assumed as the combination of inverted Y-type and rotated K-type EBFs. The resulted braced frame is called EBF-DVL, consisting of two vertical links attached together by ...
متن کاملBoring Split Links and Unknots
Boring is an operation which converts a knot or two-component link in a 3–manifold into another knot or two-component link. It generalizes rational tangle replacement and can be described as a type of 2–handle attachment. Sutured manifold theory is used to find lower bounds for the genus of knots obtained by boring split links and unknots. Bounds on the euler characteristic of essential planar ...
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Real network data is often incomplete and noisy, where link prediction algorithms and spurious link identification algorithms can be applied. Thus far, it lacks a general method to transform network organizing mechanisms to link prediction algorithms. Here we use an algorithmic framework where a network's probability is calculated according to a predefined structural Hamiltonian that takes into...
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We show that any of the new knot invariants obtained from Chern-Simons theory based on an arbitrary non-abelian gauge group do not distinguish isotopically inequivalent mutant knots and links. In an attempt to distinguish these knots and links, we study Murakami (symmetrized version) r-strand composite braids. Salient features of the theory of such composite braids are presented. Representation...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2005
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-004-0402-3