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math.GT2026
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…
math.GT2025
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…
math.GT2024
Obstructing two-torsion in the rational knot concordance group
Jaewon Lee
It is well known that there are many 2-torsion elements in the classical knot concordance group. On the other hand, it is not known if there is any torsion element in the rational…