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 2019Show all

2 papers · 1 filter

math.GT2019★ 7 cited

The $ν^{+}$ -equivalence classes of genus one knots

Kouki Sato

The $ν^{+}$ -equivalence is an equivalence relation on the knot concordance group. This relation can be seen as a certain stable equivalence on knot Floer complexes $C F K^{\infty}$ , an…

math.GT2019★ 15 cited

Filtered instanton Floer homology and the homology cobordism group

Yuta Nozaki, Kouki Sato, Masaki Taniguchi

For any $s \in [- \infty, 0]$ and oriented homology 3-sphere $Y$ , we introduce a homology cobordism invariant $r_{s} (Y) \in (0, \infty]$ . The values ${r_{s} (Y)}$ are included in the cr…

The ν+-equivalence classes of genus one knots

Filtered instanton Floer homology and the homology cobordism group

The $ν^{+}$ -equivalence classes of genus one knots