منابع مشابه
Seifert fibered surgery on Montesinos knots
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 ...
متن کاملReidemeister Torsion for Linear Representations and Seifert Surgery on Knots
We study an invariant of a 3-manifold which consists of Reidemeister torsion for linear representations which pass through a finite group. We show a Dehn surgery formula on this invariant and compute that of a Seifert manifold over S 2. As a consequence we obtain a necessary condition for a result of Dehn surgery along a knot to be Seifert fibered, which can be applied even in a case where abel...
متن کاملImmersed surfaces and Seifert fibered surgery on Montesinos knots
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.
متن کاملSmall Seifert-fibered Dehn surgery on hyperbolic knots
In this paper, we define the primitive/Seifert-fibered property for a knot in S . If satisfied, the property ensures that the knot has a Dehn surgery that yields a small Seifert-fibered space (i.e. base S and three or fewer critical fibers). Next we describe the twisted torus knots, which provide an abundance of examples of primitive/Seifert-fibered knots. By analyzing the twisted torus knots, ...
متن کاملSmall Seifert fibered surgery on hyperbolic pretzel knots
The study of exceptional surgery on hyperbolic knots has been well developed over the last quarter century. One particularly well studied problem is that of exceptional surgery on arborescent knots, which include Montesinos knots and pretzel knots. Thanks to the positive solution to the Geometrization conjecture [Per03a, Per03b, Per03c], any exceptional surgery is either reducible, toroidal, or...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2002
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(01)00123-7