Braiding a link with a fixed closed braid
نویسندگان
چکیده
منابع مشابه
Properties of Closed 3-braids and Other Link Braid Representations
We show that 3-braid links with given (non-zero) Alexander or Jones polynomial are finitely many, and can be effectively determined. We classify among closed 3-braids strongly quasi-positive and fibered ones, and show that 3-braid links have a unique incompressible Seifert surface. We also classify the positive braid words with Morton-Williams-Franks bound 3 and show that closed positive braids...
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The relationships between braid ordering and the geometry of its closure is studied. We prove that if an essential closed surface F in the complements of closed braid has relatively small genus with respect to the Dehornoy floor of the braid, F is circular-foliated in a sense of Birman-Menasco’s Braid foliation theory. As an application of the result, we prove that if Dehornoy floor of braids a...
متن کاملThe Multivariable Alexander Polynomial for a Closed Braid
In this paper I give a similar method for finding the multivariable Alexander polynomial of a link L presented as the closure of a braid β. The main ingredient is a readily constructed multivariable version of the reduced Burau matrices. Other versions of ‘coloured’ Burau matrices have been developed, for example by Penne, [4], which can be interpreted as determining linear presentations of sui...
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This paper is has addressed the Single Flexible Link Robot. The dynamical model is derived using Euler-Lagrange equation and then a proper controller is designed to suppress a vibration based-on Input-Shaping (IS) method. But, IS control method is an open loop strategy. Due to the weakness of open loop control systems, a closed loop IS control system is proposed. The achieved closed loop c...
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We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2010
ISSN: 0166-8641
DOI: 10.1016/j.topol.2009.04.032