4 papers
Unknotting number, ribbon concordance, and singular instantons
Hayato Imori, JungHwan Park, Masaki Taniguchi
We use equivariant singular instanton Floer theory with the Chern--Simons filtration to obstruct same-sign unknotting operations. We show that, for a large class of slice knots obt…
Cobordism maps in Khovanov homology and singular instanton homology II
Hayato Imori, Taketo Sano, Kouki Sato +1
This paper is a continuation of our previous work, where we defined an embedded cobordism map on the instanton cube complex that recovers the cobordism maps both in Khovanov homolo…
Cobordism maps in Khovanov homology and singular instanton homology I
Hayato Imori, Taketo Sano, Kouki Sato +1
Khovanov homology and singular instanton Floer homology are both functorial with respect to link cobordisms. Although the two homology groups are related by a spectral sequence, di…
On the slice-torus invariant from -equivariant Seiberg--Witten Floer cohomology
Nobuo Iida, Taketo Sano, Kouki Sato +1
We show that Iida--Taniguchi's -valued slice-torus invariant cannot be realized as a linear combination of Rasmussen's -invariant, Ozsváth--Szabó's -invaria…