4 papers
Every negative amphichiral knot is rationally slice
Alessio Di Prisa, Jaewon Lee, Oğuz Şavk
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…
On homology spheres of the trivial local equivalence class
Jaewon Lee, Oğuz Şavk
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 th…
Equivariant Q-sliceness of strongly invertible knots
Alessio Di Prisa, Oğuz Şavk
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…
Turk's head knots and links: a survey
Alessio Di Prisa, Oğuz Şavk
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…