Hoste's conjecture on zeros of Alexander polynomials of alternating knots
Hoste's conjecture on zeros of Alexander polynomials of alternating knots
Let be an alternating knot, and let be such that
Hoste's conjecture. Then . This conjecture concerns the location of zeros of Alexander polynomials for alternating knots. The source recalls it while analyzing zeros in rational and pretzel knot families; its general status is not resolved in the supplied context.
Sources & referencesView supporting material
Primary source
Javier Martínez, “Affine representations of rational and pretzel knots”, arXiv:2510.02077 (2025).
Additional references
7 papers in this index state this conjecture (2011–2025). The statement above is taken from the most recent of them; the others are arXiv:1506.02000, arXiv:1401.5336, arXiv:1307.1578, arXiv:1301.4937, arXiv:1102.0701, arXiv:1101.3390.
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