We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4-strand and 6-strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4-genus and the Seifert genus of torus knots from 2/3 to 14/27
The twisted torus knots lie on the standard genus 2 Heegaard surface for S3, as do the primitive/pri...
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable su...
In this paper we give an upper bound for the slopes yielding an incompressible torus by surgery on a...
We prove that the topological locally flat slice genus of large torus knots takes up less than three...
We present a lower bound on the stable $4$-genus of a knot based on Casson-Gordon $\tau$-signatures....
We give a new proof that the Levine–Tristram signatures of a link give lower bounds for the minimal ...
In 1981, Freedman proved that knots with trivial Alexander polynomial bound a locally flat disc in t...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
Abstract. The twisted torus knots and the primitive/Seifert knots both lie on a genus 2 Heegaard sur...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
Region crossing change for a knot or a proper link is an unknotting operation. In this paper, we pro...
19 pages, 21 figures, comments welcomeThe T-genus of a knot is the minimal number of borromean-type ...
We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of...
The unknotting number of a knot is bounded from below by its slice genus. It is a well-known fact th...
The twisted torus knots lie on the standard genus 2 Heegaard surface for S3, as do the primitive/pri...
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable su...
In this paper we give an upper bound for the slopes yielding an incompressible torus by surgery on a...
We prove that the topological locally flat slice genus of large torus knots takes up less than three...
We present a lower bound on the stable $4$-genus of a knot based on Casson-Gordon $\tau$-signatures....
We give a new proof that the Levine–Tristram signatures of a link give lower bounds for the minimal ...
In 1981, Freedman proved that knots with trivial Alexander polynomial bound a locally flat disc in t...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
Abstract. The twisted torus knots and the primitive/Seifert knots both lie on a genus 2 Heegaard sur...
We use the knot filtration on the Heegaard Floer complex dCF to define an integer invariant (K) for ...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
Region crossing change for a knot or a proper link is an unknotting operation. In this paper, we pro...
19 pages, 21 figures, comments welcomeThe T-genus of a knot is the minimal number of borromean-type ...
We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of...
The unknotting number of a knot is bounded from below by its slice genus. It is a well-known fact th...
The twisted torus knots lie on the standard genus 2 Heegaard surface for S3, as do the primitive/pri...
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable su...
In this paper we give an upper bound for the slopes yielding an incompressible torus by surgery on a...
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