منابع مشابه
Links with No Exceptional Surgeries
We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and at least 6 crossings per twist region, then every non-trivial Dehn filling of that knot is hyperbolike. A similar statement holds for links. We prove this using two arguments, one geometric and one combinatorial. The combinatorial argument further implies that every link with at least 2 twist regions ...
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A nontrivial Dehn surgery on a hyperbolic knot K in S is exceptional if the resulting manifold is either reducible, or toroidal, or a Seifert fibered manifold whose orbifold is a sphere with at most three exceptional fibers, called a small Seifert fibered space. Thus an exceptional Dehn surgery is non-hyperbolic, and using a version of Thurston’s orbifold theorem proved by Boileau and Porti [BP...
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We show that a closed orientable 3-manifold M admits an action of Zp with fixed point set S 1 iff M can be obtained as the result of surgery on a p-periodic framed link L and Zp acts freely on the components of L. We prove a similar theorem for free Zp-actions. As an interesting application, we prove the following, rather unexpected result: for any M as above and for any odd prime p, H1(M,Zp) 6...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2007
ISSN: 0010-2571
DOI: 10.4171/cmh/105