15 citations · 48 across the 18 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.GT2016★ 8 cited
Topologically slice knots that are not smoothly slice in any definite 4-manifold
Kouki Sato
We prove that there exist infinitely many topologically slice knots which cannot bound a smooth null-homologous disk in any definite 4-manifold. Furthermore, we show that we can ta…
math.GT2016
Knots that are not slice either in positons or in negatons
Kouki Sato
An oriented compact 4-manifold with boundary is called a positon (resp. negaton) if its intersection form is positive definite (resp. negative definite) and it is simply…