2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the detection of knots by their traces in high dimensions
Valentina Bais, Alessio Di Prisa, Daniel Hartman +8
For every , we demonstrate the existence of non-isotopic, smooth -knots in with diffeomorphic traces. We give two proofs: the first by generalising the RBG l…
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…
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…
Solvability of concordance groups and Milnor invariants
Alessio Di Prisa, Giovanni Framba
Using Milnor invariants, we prove that the concordance group of -string links is not solvable. As a consequence we prove that the equivariant concordance group…
A new invariant of equivariant concordance and results on 2-bridge knots
Alessio Di Prisa, Giovanni Framba
We study the equivariant concordance classes of two-bridge knots, providing an easy formula to compute their butterfly polynomial, and we give two different proofs that no two-brid…