15 citations · 34 across the 21 of their papers we have counts for
21 papers
The border Waring rank of is
Jong In Han
In this paper, we show that the border Waring rank of over fields of characteristic zero is exactly . As a consequence, the classical polarization ident…
Purely cosmetic surgeries and Casson--Walker--Lescop invariants
Kazuhiro Ichihara, In Dae Jong, Yasuyoshi Tsutsumi
Using the rational surgery formula for the Casson--Walker--Lescop invariant of links in the -sphere, we show that any null-homologous knot in a rational homology sphere admits a…
The border rank of the determinant tensor is twelve
Jong In Han, Jeong-Hoon Ju, Yeongrak Kim
We show that the border rank of the determinant tensor is at least over , using the fixed ideal theorem introduced by Buczyńska-Buczyński and the meth…
Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant
Kazuhiro Ichihara, In Dae Jong
We study cosmetic surgeries on a knot in a homology sphere. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredient is the rational s…
An exploration of low crossing and chiral cosmetic bands with grid diagrams
Agnese Barbensi, Daniele Celoria, Christopher Ktenidis +3
We computationally explore non-coherent band attachments between low crossing number knots, using grid diagrams. We significantly improve the current H(2)-distance table. In partic…
Large alternating Montesinos knots do not admit purely cosmetic surgeries
Kazuhiro Ichihara, In Dae Jong
It is conjectured that, on a non-trivial knot in the 3-sphere, no pair of Dehn surgeries along distinct slopes are purely cosmetic, that is, none of them yield 3-manifolds those ar…