Add to ORKGWe show that if a knot has a minimal spanning surface that admits certain Gabai disks, then a manifold obtained by ±1-Dehn surgery along the knot has infinite fundamental group. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given. © 2004 Elsevier B.V. All rights reserved
Cyclic surgery on satellite knots in S³ is classified and a necessary condition is given for a knot ...
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y i...
In this paper, we study the creation of Klein bottles by surgery on knots in the 3-sphere. For non-c...
AbstractWe show that if a knot has a minimal spanning surface that admits certain Gabai disks, then ...
AbstractIn this paper we show that any nontrivial Dehn surgery on a nontorus 2-bridge knot produces ...
AbstractBrittenham has shown how an incompressible Seifert surface for a knot in S3 can be used to f...
AbstractIt is proved in this paper that there is an infinity of knot types in S3, having essential c...
We provide infinitely many rational homology 3-spheres with weight- one fundamental groups which do ...
AbstractThese are notes of a talk given at the Mathematische Arbeitstagung 2005 in Bonn. Following i...
We say a knot k in the 3-sphere S-3 has Property I E if the infinite cyclic cover of the knot exteri...
AbstractIn this paper, we prove that for any positive even integer m, there exists a hyperbolic knot...
A knot is an embedding of a circle into a 3-dimensional manifold. When this man- ifold is the sphere...
Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus...
AbstractWe say a knot k in the 3-sphere S3 has Property IE if the infinite cyclic cover of the knot ...
Let $K$ be a non-trivial knot in $S^3$ with the exterior $E(K)$. For a slope $r \in \mathbb{Q}$, let...
Cyclic surgery on satellite knots in S³ is classified and a necessary condition is given for a knot ...
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y i...
In this paper, we study the creation of Klein bottles by surgery on knots in the 3-sphere. For non-c...
AbstractWe show that if a knot has a minimal spanning surface that admits certain Gabai disks, then ...
AbstractIn this paper we show that any nontrivial Dehn surgery on a nontorus 2-bridge knot produces ...
AbstractBrittenham has shown how an incompressible Seifert surface for a knot in S3 can be used to f...
AbstractIt is proved in this paper that there is an infinity of knot types in S3, having essential c...
We provide infinitely many rational homology 3-spheres with weight- one fundamental groups which do ...
AbstractThese are notes of a talk given at the Mathematische Arbeitstagung 2005 in Bonn. Following i...
We say a knot k in the 3-sphere S-3 has Property I E if the infinite cyclic cover of the knot exteri...
AbstractIn this paper, we prove that for any positive even integer m, there exists a hyperbolic knot...
A knot is an embedding of a circle into a 3-dimensional manifold. When this man- ifold is the sphere...
Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus...
AbstractWe say a knot k in the 3-sphere S3 has Property IE if the infinite cyclic cover of the knot ...
Let $K$ be a non-trivial knot in $S^3$ with the exterior $E(K)$. For a slope $r \in \mathbb{Q}$, let...
Cyclic surgery on satellite knots in S³ is classified and a necessary condition is given for a knot ...
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y i...
In this paper, we study the creation of Klein bottles by surgery on knots in the 3-sphere. For non-c...