chern-simons filtration 1dehn surgery 1ribbon concordance 1singular instanton Floer theory 1slice knots 1unknotting number 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.GT2026
Unknotting number, ribbon concordance, and singular instantons
Hayato Imori, JungHwan Park, Masaki Taniguchi
The authors apply equivariant singular instanton Floer theory equipped with a Chern–Simons filtration to prove that unknotting sequences for many slice knots obtained via ribbon co…
math.GT2026
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
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…