Cyclotomic Alexander polynomials for periodic L-space knots

Let KK be a periodic or freely periodic L-space knot, and let ΔK(t)\Delta_K(t) denote its Alexander polynomial. Cyclotomic Alexander polynomial conjecture. ΔK(t)\Delta_K(t) 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 1616; the general statement remains unresolved in the supplied text.

Sources & referencesView supporting material

Primary source

Keegan Boyle, Nicholas Rouse and Ben Williams, “Obstructions to free periodicity and symmetric L-space knots”, arXiv:2310.01705 (2026).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.