The normalized flat Jones–Krushkal polynomial conjecture for almost classical flat knots
The normalized flat Jones–Krushkal polynomial conjecture for almost classical flat knots
Let be an almost classical flat knot, and let denote its normalized flat Jones–Krushkal polynomial, defined using a minimal diagram of .
Normalized flat Jones–Krushkal polynomial conjecture. For any almost classical flat knot , the normalized flat Jones–Krushkal polynomial satisfies
This was observed empirically for every almost classical flat knot up to crossings. Whether the identity holds for all almost classical flat knots remains open.
Sources & referencesView supporting material
Primary source
Jie Chen, “FlatKnotInfo: the first 1.24 million flat knots”, arXiv:2410.00216 (2024).
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