3 papers
math.GT2025
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…
math.GT2024
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…
math.GT2022
The equivariant concordance group is not abelian
Alessio Di Prisa
We prove that the equivariant concordance group is not abelian by exhibiting an infinite family of nontrivial commutators.