Chbili–Qazaqzeh's Jones polynomial conjecture for quasi-alternating links
Chbili–Qazaqzeh's Jones polynomial conjecture for quasi-alternating links
Let be a prime quasi-alternating link that is not a -torus link, and write its Jones polynomial as
Chbili–Qazaqzeh's conjecture. The coefficients satisfy
for all .
The conjecture extends the known alternating-coefficient property of prime alternating links to prime quasi-alternating links. The source states that it was subsequently proved that, if a quasi-alternating link satisfies this conjecture, then any link obtained from it by the Champernowne–Kofman twisting construction also satisfies it.
Sources & referencesView supporting material
Primary source
Nafaa Chbili and Kirandeep Kaur, “Extending Quasi-Alternating Links”, arXiv:2007.07770 (2020).
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