Cyclotomic Alexander polynomials for periodic L-space knots
Cyclotomic Alexander polynomials for periodic L-space knots
Let be a periodic or freely periodic L-space knot, and let denote its Alexander polynomial. Cyclotomic Alexander polynomial conjecture. is a product of cyclotomic polynomials. The paper presents this as a conjecture motivated by computational evidence and proves the corresponding assertion for freely periodic L-space knots of genus at most ; the general statement remains unresolved in the supplied text.
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Primary source
Keegan Boyle, Nicholas Rouse and Ben Williams, “Obstructions to free periodicity and symmetric L-space knots”, arXiv:2310.01705 (2026).
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