Kouki Sato

activity

20142026

most citedFiltered instanton Floer homology and the homology cobordism group

15 citations · 48 across the 18 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.GT2025

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…

math.GT2025

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…

math.GT2025

On the slice-torus invariant $q_{M}$ from $Z_{2}$ -equivariant Seiberg--Witten Floer cohomology

Nobuo Iida, Taketo Sano, Kouki Sato +1

We show that Iida--Taniguchi's $Z$ -valued slice-torus invariant $q_{M}$ cannot be realized as a linear combination of Rasmussen's $s$ -invariant, Ozsváth--Szabó's $τ$ -invaria…

Cobordism maps in Khovanov homology and singular instanton homology II

Cobordism maps in Khovanov homology and singular instanton homology I

On the slice-torus invariant qM​ from Z2​-equivariant Seiberg--Witten Floer cohomology

On the slice-torus invariant $q_{M}$ from $Z_{2}$ -equivariant Seiberg--Witten Floer cohomology