Add to ORKGAbstract. Knot Floer homology is an invariant for knots in the three-sphere for which the Euler characteristic is the Alexander-Conway polynomial of the knot. The aim of this paper is to study this homology for a class of satellite knots, so as to see how a certain relation between the Alexander-Conway polynomials of the satellite, companion and pattern is generalized on the level of the knot Floer homology. We also use our observations to study a classical geometric invariant, the Seifert genus, of our satellite knots. 1
. Every Brieskorn homology sphere \Sigma(p; q; r) is a double cover of the 3--sphere ramified over ...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
Abstract. We review the construction of Heegaard–Floer homology for closed three-manifolds and also ...
We use the methods of bordered Floer homology to provide a formula for both τ and HFK of certain sat...
We exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Seifert su...
AbstractWe exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Se...
textIn this dissertation we prove that if an n-stranded pretzel knot K has an essential Conway spher...
We explore certain restrictions on knots in the three-sphere which admit non-trivial Seifert fibered...
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
In an earlier paper, we introduced a knot invariant for a null-homologous knot K in an oriented thre...
Abstract We define the longitude Floer homology of a knot K ⊂ S3 and show that it is a topological i...
Abstract We define the longitude Floer homology of a knot K ⊂ S3 and show that it is a topological i...
Abstract. The instanton Floer homology of a knot in S3 is a vector space with a canonical mod 2 grad...
For a knot K ⊂ S3, both Khovanov homology and knot Floer homology define maps ν: K − → Z such that (...
Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a...
. Every Brieskorn homology sphere \Sigma(p; q; r) is a double cover of the 3--sphere ramified over ...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
Abstract. We review the construction of Heegaard–Floer homology for closed three-manifolds and also ...
We use the methods of bordered Floer homology to provide a formula for both τ and HFK of certain sat...
We exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Seifert su...
AbstractWe exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Se...
textIn this dissertation we prove that if an n-stranded pretzel knot K has an essential Conway spher...
We explore certain restrictions on knots in the three-sphere which admit non-trivial Seifert fibered...
This paper explores two questions: (1) Which bigraded groups arise as the knot Floer homology of a k...
In an earlier paper, we introduced a knot invariant for a null-homologous knot K in an oriented thre...
Abstract We define the longitude Floer homology of a knot K ⊂ S3 and show that it is a topological i...
Abstract We define the longitude Floer homology of a knot K ⊂ S3 and show that it is a topological i...
Abstract. The instanton Floer homology of a knot in S3 is a vector space with a canonical mod 2 grad...
For a knot K ⊂ S3, both Khovanov homology and knot Floer homology define maps ν: K − → Z such that (...
Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a...
. Every Brieskorn homology sphere \Sigma(p; q; r) is a double cover of the 3--sphere ramified over ...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
Abstract. We review the construction of Heegaard–Floer homology for closed three-manifolds and also ...