KAUFFMAN–HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS
نویسندگان
چکیده
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...
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Exceptional Dehn surgeries on arborescent knots have been classified except for Seifert fibered surgeries on Montesinos knots of length 3. There are infinitely many of them as it is known that 4n + 6 and 4n + 7 surgeries on a (−2, 3, 2n + 1) pretzel knot are Seifert fibered. It will be shown that there are only finitely many others. A list of 20 surgeries will be given and proved to be Seifert ...
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The Komlós conjecture in discrepancy theory states that for some constant K and for any m× n matrix A whose columns lie in the unit ball there exists a vector x ∈ {−1,+1} such that ‖Ax‖∞ ≤ K. This conjecture also implies the Beck-Fiala conjecture on the discrepancy of bounded degree hypergraphs. Here we prove a natural relaxation of the Komlós conjecture: if the columns of A are assigned unit v...
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We will use immersed surfaces to study Seifert fibered surgery on Montesinos knots, and show that if 1 q1−1 + 1 q2−1 + 1 q3−1 ≤ 1 then a Montesinos knot K(p q1 , p2 q2 , p3 q3 ) admits no atoroidal Seifert fibered surgery.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2004
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216504003251