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5 papers · 1 filter
A family of slice-torus invariants from the divisibility of Lee classes
Taketo Sano, Kouki Sato
We give a family of slice-torus invariants , each defined from the -divisibility of the reduced Lee class in a variant of reduced Khovanov homology, parameterized…
Instantons, special cycles, and knot concordance
Aliakbar Daemi, Hayato Imori, Kouki Sato +2
We introduce a framework for defining concordance invariants of knots using equivariant singular instanton Floer theory with Chern-Simons filtration. It is demonstrated that many o…
The bridge number of surface links and kei colorings
Kouki Sato, Kokoro Tanaka
Meier and Zupan introduced bridge trisections of surface links in as a 4-dimensional analogue to bridge decompositions of classical links, which gives a numerical invariant o…
The -equivalence classes of genus one knots
Kouki Sato
The -equivalence is an equivalence relation on the knot concordance group. This relation can be seen as a certain stable equivalence on knot Floer complexes , an…
Filtered instanton Floer homology and the homology cobordism group
Yuta Nozaki, Kouki Sato, Masaki Taniguchi
For any and oriented homology 3-sphere , we introduce a homology cobordism invariant . The values are included in the cr…