4 papers
On homology spheres of the trivial local equivalence class
Jaewon Lee, OÄuz Åavk
In the homology cobordism group , it is not known if there are non-trivial linear dependences between Seifert fibered spheres. Based on involutive Heegaard Floer t…
Turk's head knots and links: a survey
Alessio Di Prisa, OÄuz Åavk
We collect and discuss various results on an important family of knots and links called Turk's head knots and links . In the mathematical literature, they also appear und…
Every negative amphichiral knot is rationally slice
Alessio Di Prisa, Jaewon Lee, OÄuz Åavk
In 2009, Kawauchi proved that every strongly negative amphichiral knot is rationally slice. However, as shown by Hartley in 1980, there are examples of negative amphichiral knots t…
Equivariant Q-sliceness of strongly invertible knots
Alessio Di Prisa, OÄuz Åavk
We introduce and study the notion of equivariant -sliceness for strongly invertible knots. On the constructive side, we prove that every Klein amphichiral knot, which i…