Three-Variable Conway Potential Function of Links
نویسندگان
چکیده
منابع مشابه
A Weight System Derived from the Multivariable Conway Potential Function
In [3] D. Bar-Natan and S. Garoufalidis used a weight system for the Alexander polynomial of knots to prove the so-called Melvin–Morton–Rozansky conjecture [18, 21] which relates the Alexander polynomial and some coefficients of coloured Jones polynomial. Their weight system can be easily extended to the case of links. It is a natural problem to give a weight system for the multivariable Alexan...
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We consider Conway polynomials of two-bridge links as Euler continuant polynomials. As a consequence, we obtain simple proofs of the classical theorems of Murasugi and Hartley on Alexander polynomials. We give a modulo 2 congruence for links, which implies the classical modulo 2 Murasugi congruence for knots. We also give sharp bounds for the coefficients of the Conway and Alexander polynomials...
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A polynomial invariant of virtual links, arising from an invariant of links in thickened surfaces introduced by Jaeger, Kauffman, and Saleur, is defined and its properties are investigated. Examples are given that the invariant can detect chirality and even non-invertibility of virtual knots and links. Furthermore, it is shown that the polynomial satisfies a Conway-type skein relation – in cont...
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Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Then either • P and Q can be properly isotoped to intersect in a nonempty collection of curves that are essential on both surfaces, or • K is a Conway product with respect to an incompressible Conway sphere that natural...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1990
ISSN: 0387-3870
DOI: 10.3836/tjm/1270133012