AbstractBy using a result of Rudolph concerning the four-genera of classical knots, we give an infinite family of knots which have arbitrary large gaps between the four-genera and the topological fourgenera
We investigate genera of slopes of a knotted torus in the 4-sphere analogous to the genus of a class...
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 ...
AbstractBy using a result of Rudolph concerning the four-genera of classical knots, we give an infin...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
We give examples of a linear combination of algebraic knots and their mirrors that are algebraically...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
We show there exist infinitely many knots of every fixed genus $g\geq 2$ which do not admit surgery ...
The unknotting number of a knot is bounded from below by its slice genus. It is a well-known fact th...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
International audienceLet $L$ be a oriented link such that $\Sigma_n(L)$, the $n$-fold cyclic cover ...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
AbstractBy using a result of L. Rudolph concerning the four-genus of a classical knot, we calculate ...
We investigate genera of slopes of a knotted torus in the 4-sphere analogous to the genus of a class...
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 ...
AbstractBy using a result of Rudolph concerning the four-genera of classical knots, we give an infin...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
We give examples of a linear combination of algebraic knots and their mirrors that are algebraically...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
We show there exist infinitely many knots of every fixed genus $g\geq 2$ which do not admit surgery ...
The unknotting number of a knot is bounded from below by its slice genus. It is a well-known fact th...
This paper presents evidence supporting the surprising conjecture that in thetopological category th...
We introduce a new link invariant called the algebraic genus, which gives an upper bound for the top...
International audienceLet $L$ be a oriented link such that $\Sigma_n(L)$, the $n$-fold cyclic cover ...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
AbstractBy using a result of L. Rudolph concerning the four-genus of a classical knot, we calculate ...
We investigate genera of slopes of a knotted torus in the 4-sphere analogous to the genus of a class...
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 ...
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