Equivalence of rational links and 2-bridge links revisited
نویسندگان
چکیده
منابع مشابه
Computing boundary slopes of 2-bridge links
We describe an algorithm for computing boundary slopes of 2-bridge links. As an example, we work out the slopes of the links obtained by 1/k surgery on one component of the Borromean rings. A table of all boundary slopes of all 2-bridge links with 10 or less crossings is also included.
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Negami found an upper bound on the stick number s(K) of a nontrivial knot K in terms of the minimal crossing number c(K) of the knot, which is s(K) ≤ 2c(K). Furthermore, McCabe proved that s(K) ≤ c(K) + 3 for a 2-bridge knot or link, except in the cases of the unlink and the Hopf link. In this paper we construct any 2-bridge knot or link K of at least six crossings by using only c(K) + 2 straig...
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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 کاملBoundary Slopes of 2-Bridge Links Determine the Crossing Number
A diagonal surface in a link exterior M is a properly embedded, incompressible, boundary incompressible surface which furthermore has the same number of boundary components and same slope on each component of ∂M . We derive a formula for the boundary slope of a diagonal surface in the exterior of a 2-bridge link which is analogous to the formula for the boundary slope of a 2-bridge knot found b...
متن کاملThe Skein Module of Two-bridge Links
We calculate the Kauffman bracket skein module (KBSM) of the complement of all two-bridge links. For a two-bridge link, we show that the KBSM of its complement is free over the ring C[t] and when reducing t = −1, it is isomorphic to the ring of regular functions on the character variety of the link group.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2015
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216515500157