Add to ORKGOzsváth and Szabó proved that knot Floer homology determines the genera of knots in S^3. We will generalize this deep result to links in homology 3-spheres, by adapting their method. Our proof relies on a result of Gabai and some constructions related to foliations. We also interpret a theorem of Kauffman in the world of knot Floer homology, hence we can compute the top filtration term of the knot Floer homology for alternative links
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology deter...
The purpose of this thesis is to define a “local” version of Ozsváth and Szabó’s Heegaard Floer homo...
For each partial flag manifold of SU(N), we define a Floer homology theory for knots in 3-manifolds,...
Ozsváth and Szabó proved that knot Floer homology determines the genera of knots in S^3. We will ge...
Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003....
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
We prove that, for a link L in a rational homology 3–sphere, the link Floer homology detects the Thu...
We prove that, for a link L in a rational homology 3–sphere, the link Floer homology detects the Thu...
AbstractWe define a Floer-homology invariant for knots in an oriented three-manifold, closely relate...
Ozsváth and Szabó conjectured that knot Floer homology detects fibred knots in S^3. We will prove th...
AbstractIn an earlier paper, we introduced a collection of graded Abelian groups HFK(Y,K) associated...
We modify the construction of knot Floer homology to produce a one-parameter family of homologies tH...
In the early 2000s, Ozsv\'{a}th and Szab\'{o} introduced a collection of invariants for 3--manifolds...
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology deter...
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology deter...
The purpose of this thesis is to define a “local” version of Ozsváth and Szabó’s Heegaard Floer homo...
For each partial flag manifold of SU(N), we define a Floer homology theory for knots in 3-manifolds,...
Ozsváth and Szabó proved that knot Floer homology determines the genera of knots in S^3. We will ge...
Knot Floer Homology HFK(K) of a knot K in S^3 was defined by Peter Ozsváth and Zoltan Szabó in 2003....
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
We prove that, for a link L in a rational homology 3–sphere, the link Floer homology detects the Thu...
We prove that, for a link L in a rational homology 3–sphere, the link Floer homology detects the Thu...
AbstractWe define a Floer-homology invariant for knots in an oriented three-manifold, closely relate...
Ozsváth and Szabó conjectured that knot Floer homology detects fibred knots in S^3. We will prove th...
AbstractIn an earlier paper, we introduced a collection of graded Abelian groups HFK(Y,K) associated...
We modify the construction of knot Floer homology to produce a one-parameter family of homologies tH...
In the early 2000s, Ozsv\'{a}th and Szab\'{o} introduced a collection of invariants for 3--manifolds...
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology deter...
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology deter...
The purpose of this thesis is to define a “local” version of Ozsváth and Szabó’s Heegaard Floer homo...
For each partial flag manifold of SU(N), we define a Floer homology theory for knots in 3-manifolds,...