منابع مشابه
Boundary Slopes for Montesinos Knots
FOR A KNOT K c S3, let S(K) c Q u {CQ} be the set of slopes of boundary curves of incompressible, %incompressible orientable surfaces in the knot exterior, slopes being normalized in the standard way so that a longitude has slope 0, a meridian slope co. These sets S(K) of %slopes are of special interest because of their relation with Dehn surgery and character varieties; see e.g., [2]. The only...
متن کاملA table of boundary slopes of Montesinos knots
This note corrects errors in Hatcher and Oertel’s table of boundary slopes of Montesinos knots which have projections with 10 or fewer crossings.
متن کاملSlopes for pretzel knots
Using the Hatcher–Oertel algorithm for finding boundary slopes of Montesinos knots, we prove the Slope Conjecture and the Strong Slope Conjecture for a family of 3-tangle pretzel knots. More precisely, we prove that the maximal degrees of the colored Jones polynomial of such a knot determine a boundary slope as predicted by the Slope Conjecture, and that the linear terms in the degrees correspo...
متن کاملCharacterizing slopes for torus knots
A slope p q is called a characterizing slope for a given knot K0 in S if whenever the p q –surgery on a knot K in S is homeomorphic to the p q –surgery on K0 via an orientation preserving homeomorphism, then K D K0 . In this paper we try to find characterizing slopes for torus knots Tr;s . We show that any slope p q which is larger than the number 30.r 1/.s 1/=67 is a characterizing slope for T...
متن کاملA Jones Slopes Characterization of Adequate Knots
We establish a characterization of adequate knots in terms of the degree of their colored Jones polynomial. We show that, assuming the Strong Slope conjecture, our characterization can be reformulated in terms of “Jones slopes” of knots and the essential surfaces that realize the slopes. For alternating knots the reformulated characterization follows by recent work of J. Greene and J. Howie. 20...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 1999
ISSN: 0010-2571,1420-8946
DOI: 10.1007/s000140050104