We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of two-bridge knots tends to zero as the crossing number tends to infinity
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signatu...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
ABSTRACT. A quadruple crossing is a crossing in a projection of a knot or link that has four strands...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
We present a lower bound on the stable $4$-genus of a knot based on Casson-Gordon $\tau$-signatures....
We show that the difference between the genus and the stable topological 4-genus of alternating knot...
This paper contains the results of efforts to determine values of the smooth and the topological sli...
Not all rational numbers are possibilities for the average genus of an individual graph. The smalles...
Abstract. We show that the crossing number of a 2-bridge knot coincides with the canonical genus of ...
For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is great...
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, usin...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
Kearton observed that mutation can change the concordance class of a knot. A close examination of hi...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
AbstractOur main result is that a 1971 conjecture due to Paul Kainen is false. Kainen's conjecture i...
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signatu...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
ABSTRACT. A quadruple crossing is a crossing in a projection of a knot or link that has four strands...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
We present a lower bound on the stable $4$-genus of a knot based on Casson-Gordon $\tau$-signatures....
We show that the difference between the genus and the stable topological 4-genus of alternating knot...
This paper contains the results of efforts to determine values of the smooth and the topological sli...
Not all rational numbers are possibilities for the average genus of an individual graph. The smalles...
Abstract. We show that the crossing number of a 2-bridge knot coincides with the canonical genus of ...
For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is great...
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, usin...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
Kearton observed that mutation can change the concordance class of a knot. A close examination of hi...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
AbstractOur main result is that a 1971 conjecture due to Paul Kainen is false. Kainen's conjecture i...
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signatu...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
ABSTRACT. A quadruple crossing is a crossing in a projection of a knot or link that has four strands...
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