Commutativity conjecture for instanton knot Floer differentials
Commutativity conjecture for instanton knot Floer differentials
Suppose is a quasi-alternating knot. Let be the instanton knot Floer homology group, and let and be maps on it. The maps shift the grading associated to the Seifert surface by one. Commutativity conjecture for instanton knot Floer differentials. The maps satisfy
where means equality up to multiplication by a unit in . This is proposed so that algebraic methods used for quasi-alternating knots can determine the differentials from the Alexander polynomial and signature; the source does not state that the conjecture has been proved.
Sources & referencesView supporting material
Primary source
Zhenkun Li and Fan Ye, “SU(2) representations and a large surgery formula”, arXiv:2107.11005 (2026).
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