Add to ORKGFor a knot K ⊂ S3, the (smooth) slice-genus g∗(K) is the smallest genus of any properly embedded, smooth, oriented surface Σ ⊂ B4 with boundary K. In [12], Rasmussen used a construction based on Khovanov homology to define a knot-invariant s(K) ∈ 2Z with the following properties
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
this paper and its sequel [KrM] is to establish a lower bound for the genus of the surface, in terms...
Using a version of instanton homology, an integer invariant s[superscript ♯](K) is defined for knots...
AbstractWe show that a generic perturbation of the doubly-graded Khovanov–Rozansky knot homology giv...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
A virtual knot is an equivalence class of embeddings of $ S^1 $ into thickened (closed oriented) sur...
A virtual knot is an equivalence class of embeddings of $ S^1 $ into thickened (closed oriented) sur...
AbstractRasmussen introduced a knot invariant based on Khovanov homology theory, and showed that thi...
AbstractWe show that a generic perturbation of the doubly-graded Khovanov–Rozansky knot homology giv...
We obtain new lower bounds for the minimal genus of a locally flat surface repre-senting a 2–dimensi...
Back in 2004, Rasmussen extracted a numerical invariant from Khovanov-Lee homology, and used it to g...
Abstract. We introduce a geometric invariant of knots in S3, called the first-order genus, that is d...
We present evidence supporting the conjecture that, in the topological category, the slice genus of ...
The CP 2-genus of a knot K is the minimal genus over all isotopy classes of smooth, compact, connect...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
this paper and its sequel [KrM] is to establish a lower bound for the genus of the surface, in terms...
Using a version of instanton homology, an integer invariant s[superscript ♯](K) is defined for knots...
AbstractWe show that a generic perturbation of the doubly-graded Khovanov–Rozansky knot homology giv...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
A virtual knot is an equivalence class of embeddings of $ S^1 $ into thickened (closed oriented) sur...
A virtual knot is an equivalence class of embeddings of $ S^1 $ into thickened (closed oriented) sur...
AbstractRasmussen introduced a knot invariant based on Khovanov homology theory, and showed that thi...
AbstractWe show that a generic perturbation of the doubly-graded Khovanov–Rozansky knot homology giv...
We obtain new lower bounds for the minimal genus of a locally flat surface repre-senting a 2–dimensi...
Back in 2004, Rasmussen extracted a numerical invariant from Khovanov-Lee homology, and used it to g...
Abstract. We introduce a geometric invariant of knots in S3, called the first-order genus, that is d...
We present evidence supporting the conjecture that, in the topological category, the slice genus of ...
The CP 2-genus of a knot K is the minimal genus over all isotopy classes of smooth, compact, connect...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
Let K be a knot in S3 of genus g and let n> 0: We show that if rk1HFK.K;g / < 2nC1 (where1HFK ...
this paper and its sequel [KrM] is to establish a lower bound for the genus of the surface, in terms...