Add to ORKGUsing 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish the surfaces using the maps they induce on perturbed link Floer homology. Along the way, we show that the cobordism map induced by an ascending surface in a Weinstein cobordism preserves the transverse invariant in link Floer homology
AbstractA surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕ on the surf...
In an earlier work, we introduced a family of t-modified knot Floer homologies, defined by modifying...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
In an earlier work, we introduced a family tHFK(K) of t-modified knot Floer homologies, defined by m...
We consider the set of connected surfaces in the 4-ball that bound a fixed knot in the 3-sphere. We ...
This paper provides a convenient and practical method to compute the homology and intersection pairi...
Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a...
This represents joint work with Danny Ruberman. We will start with critical level embeddings of a pa...
This represents joint work with Danny Ruberman. We will start with critical level embeddings of a pa...
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invarian...
We exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Seifert su...
We use the methods of bordered Floer homology to provide a formula for both τ and HFK of certain sat...
AbstractWe exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Se...
The Wall's stable h-cobordism theorem states that homotopy equivalent, smooth simply-connected 4-man...
In this thesis, we develop algorithms in computational topology for working with regular CW-complexe...
AbstractA surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕ on the surf...
In an earlier work, we introduced a family of t-modified knot Floer homologies, defined by modifying...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
In an earlier work, we introduced a family tHFK(K) of t-modified knot Floer homologies, defined by m...
We consider the set of connected surfaces in the 4-ball that bound a fixed knot in the 3-sphere. We ...
This paper provides a convenient and practical method to compute the homology and intersection pairi...
Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a...
This represents joint work with Danny Ruberman. We will start with critical level embeddings of a pa...
This represents joint work with Danny Ruberman. We will start with critical level embeddings of a pa...
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invarian...
We exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Seifert su...
We use the methods of bordered Floer homology to provide a formula for both τ and HFK of certain sat...
AbstractWe exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Se...
The Wall's stable h-cobordism theorem states that homotopy equivalent, smooth simply-connected 4-man...
In this thesis, we develop algorithms in computational topology for working with regular CW-complexe...
AbstractA surface in a smooth 4-manifold is called flexible if, for any diffeomorphism ϕ on the surf...
In an earlier work, we introduced a family of t-modified knot Floer homologies, defined by modifying...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...