When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating sphere? We use Heegaard Floer homology to give sufficient conditions for K to be unknotted. We also discuss some applications to homology cobordism, concordance, and Mazur manifolds.Comment: 6 page
Let K be a rationally null-homologous knot in a three-manifold Y. We construct a version of knot Flo...
n this thesis we generalise three theorems from the literature on Heegaard Floer homology and Dehn ...
We study Dehn surgeries on null-homotopic knots that yield fibred 3-manifolds when an additional (bu...
We provide infinitely many rational homology 3-spheres with weight- one fundamental groups which do ...
We consider the question of which Dehn surgeries along a given knot bound rational homology balls. W...
We show that there are no distance one surgeries on non-null-homologous knots in $M$ that yield $-M$...
Abstract. We provide a new obstruction for a rational homology 3-sphere to arise by Dehn surgery on ...
Let K be a nontrivial knot in S^3, and let r and r′ be two distinct rational numbers of same sign. W...
We study 4-dimensional homology cobordisms without 3-handles, showing that they interact nicely with...
We present two large families of new examples of plumbed 3-manifolds that bound rational homology 4-...
This paper establishes a new technique that enables us to access some fundamental structural propert...
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y i...
AbstractIn this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surg...
We prove that if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles o...
In this article, we completely classify torus bundles over the circle that bound 4-manifolds with th...
Let K be a rationally null-homologous knot in a three-manifold Y. We construct a version of knot Flo...
n this thesis we generalise three theorems from the literature on Heegaard Floer homology and Dehn ...
We study Dehn surgeries on null-homotopic knots that yield fibred 3-manifolds when an additional (bu...
We provide infinitely many rational homology 3-spheres with weight- one fundamental groups which do ...
We consider the question of which Dehn surgeries along a given knot bound rational homology balls. W...
We show that there are no distance one surgeries on non-null-homologous knots in $M$ that yield $-M$...
Abstract. We provide a new obstruction for a rational homology 3-sphere to arise by Dehn surgery on ...
Let K be a nontrivial knot in S^3, and let r and r′ be two distinct rational numbers of same sign. W...
We study 4-dimensional homology cobordisms without 3-handles, showing that they interact nicely with...
We present two large families of new examples of plumbed 3-manifolds that bound rational homology 4-...
This paper establishes a new technique that enables us to access some fundamental structural propert...
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y i...
AbstractIn this paper we show that any Rochlin invariant one homology 3-sphere obtained by Dehn surg...
We prove that if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles o...
In this article, we completely classify torus bundles over the circle that bound 4-manifolds with th...
Let K be a rationally null-homologous knot in a three-manifold Y. We construct a version of knot Flo...
n this thesis we generalise three theorems from the literature on Heegaard Floer homology and Dehn ...
We study Dehn surgeries on null-homotopic knots that yield fibred 3-manifolds when an additional (bu...
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