منابع مشابه
Conway Products and Links with Multiple Bridge Surfaces
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...
متن کاملOn Alexander-Conway polynomials of two-bridge links
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...
متن کاملMultiple Bridge Surfaces Restrict Knot Distance
Suppose M is a closed irreducible orientable 3-manifold, K is a knot in M , P and Q are bridge surfaces for K and K is not removable with respect to Q. We show that either Q is equivalent to P or d(K,P ) ≤ 2 − χ(Q − K). If K is not a 2-bridge knot, then the result holds even if K is removable with respect to Q. As a corollary we show that if a knot in S has high distance with respect to some br...
متن کاملOn Alexander-Conway Polynomials for Virtual Knots and Links
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...
متن کاملSymmetric Links and Conway Sums: Volume and Jones Polynomial
We obtain bounds on hyperbolic volume for periodic links and Conway sums of alternating tangles. For links that are Conway sums we also bound the hyperbolic volume in terms of the coefficients of the Jones polynomial.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2008
ISSN: 0026-2285
DOI: 10.1307/mmj/1213972401