Toroidal surgeries on hyperbolic knots
نویسندگان
چکیده
منابع مشابه
The Classification of Toroidal Dehn Surgeries on Montesinos Knots
Exceptional Dehn surgeries have been classified for 2-bridge knots and Montesinos knots of length at least 4. In this paper we classify all toroidal Dehn surgeries on Montesinos knots of length 3.
متن کاملNon-integral Toroidal Surgery on Hyperbolic Knots in S
It is shown that a hyperbolic knot in S3 admits at most one nonintegral Dehn surgery producing a toroidal manifold. Let K be a knot in the 3-sphere S and M = MK the complement of an open regular neighborhood of K in S. As usual, the set of slopes on the torus ∂M (i.e. the set of isotopy classes of essential simple loops on ∂M) is parameterized by {m/n : m,n ∈ Z, n > 0, (m,n) = 1} ∪ {1/0}, so th...
متن کاملAll 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 کاملA pr 1 99 7 NON - INTEGRAL TOROIDAL SURGERY ON HYPERBOLIC KNOTS IN S 3 CAMERON
We show that on any hyperbolic knot in S there is at most one nonintegral Dehn surgery which yields a manifold containing an incompressible torus. Let K be a knot in the 3-sphere S and M = MK the complement of an open regular neighborhood of K in S. As usual, the set of slopes on the torus ∂M (i.e. the set of isotopy classes of essential simple loops on ∂M) is parameterized by {m/n : m,n ∈ Z, n...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06420-1