Add to ORKGAbstract. The concordance genus of a knot is the least genus of any knot in its concordance class. Although difficult to compute, it is a useful invariant that highlights the distinction between the three–genus and four–genus. In this paper we define and discuss the stable concordance genus of a knot, which describes the behavior of the concordance genus under connected sum. 1
We provide a framework for studying the interplay between concordance and positive mutation and iden...
Abstract. For certain classes of knots we define geometric invariants called higher-order genera. Ea...
We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly inv...
Abstract. The concordance genus of a knot is the least genus of any knot in its concordance class. I...
Abstract. Kearton observed that mutation can change the concordance class of a knot. A close examina...
Kearton observed that mutation can change the concordance class of a knot. A close examination of hi...
International audienceWe derive a linear estimate of the signature of positive knots, in terms of th...
International audienceWe derive a linear estimate of the signature of positive knots, in terms of th...
We derive a linear estimate of the signature of positive knots, in terms of their genus. As an appl...
We show that the differences between various concordance invariants of knots, including Rasmussen&ap...
Ozsváth and Szabo ́ have defined a knot concordance invariant τ that bounds the 4–ball genus of a k...
We show that the difference between the genus and the stable topological 4-genus of alternating knot...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
We provide a framework for studying the interplay between concordance and positive mutation and iden...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
We provide a framework for studying the interplay between concordance and positive mutation and iden...
Abstract. For certain classes of knots we define geometric invariants called higher-order genera. Ea...
We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly inv...
Abstract. The concordance genus of a knot is the least genus of any knot in its concordance class. I...
Abstract. Kearton observed that mutation can change the concordance class of a knot. A close examina...
Kearton observed that mutation can change the concordance class of a knot. A close examination of hi...
International audienceWe derive a linear estimate of the signature of positive knots, in terms of th...
International audienceWe derive a linear estimate of the signature of positive knots, in terms of th...
We derive a linear estimate of the signature of positive knots, in terms of their genus. As an appl...
We show that the differences between various concordance invariants of knots, including Rasmussen&ap...
Ozsváth and Szabo ́ have defined a knot concordance invariant τ that bounds the 4–ball genus of a k...
We show that the difference between the genus and the stable topological 4-genus of alternating knot...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
We provide a framework for studying the interplay between concordance and positive mutation and iden...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
We provide a framework for studying the interplay between concordance and positive mutation and iden...
Abstract. For certain classes of knots we define geometric invariants called higher-order genera. Ea...
We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly inv...