منابع مشابه
All Exceptional Surgeries on Alternating Knots Are Integral Surgeries
We show that all exceptional surgeries on hyperbolic alternating knots in the 3-sphere are integral surgeries.
متن کاملCosmetic surgeries on knots in S 3
Two Dehn surgeries on a knot are called purely cosmetic, if they yield manifolds that are homeomorphic as oriented manifolds. Suppose there exist purely cosmetic surgeries on a knot in S, we show that the two surgery slopes must be the opposite of each other. One ingredient of our proof is a Dehn surgery formula for correction terms in Heegaard Floer homology.
متن کاملCosmetic surgeries on genus one knots
Let Y be a closed oriented three-manifold and K be a framed knot in Y . For a rational number r , let Yr(K) be the resulting manifold obtained by Dehn surgery along K with slope r with respect to the given framing. For a knot K in S3 , we will always use the Seifert framing. Two surgeries along K with distinct slopes r and s are called cosmetic if Yr(K) and Ys(K) are homeomorphic. The two surge...
متن کاملThurston norm and cosmetic surgeries
Two Dehn surgeries on a knot are called cosmetic if they yield homeomorphic manifolds. For a null-homologous knot with certain conditions on the Thurston norm of the ambient manifold, if the knot admits cosmetic surgeries, then the surgery coefficients are equal up to sign.
متن کاملLinks 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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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.03.002