The Alexander-polynomial conjecture for hyperbolic L-space knots
The Alexander-polynomial conjecture for hyperbolic L-space knots
Let be a hyperbolic L-space knot, let be its Seifert genus, and let be its braid index. Let denote its Alexander polynomial. The hyperbolic L-space knot Alexander-polynomial conjecture. Then
The hyperbolicity assumption is essential: the source notes that the assertion fails for the -cable of , which is an L-space knot. The conjecture is otherwise presented as an open prediction.
Sources & referencesView supporting material
Primary source
Siddhi Krishna and Hugh Morton, “Twist positivity, L-space knots, and concordance”, arXiv:2211.17109 (2025).
Additional references
2 papers in this index state this conjecture (2008–2022). The statement above is taken from the most recent of them; the others are arXiv:0807.4891.
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