3 problems

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Rectangular cyclotomic expansion conjecture for colored HOMFLY-PT polynomials
Cyclotomic expansions. There exists such a function $C(K)$ for which
Conjectureopencyclotomic-expansions homfly-pt-polynomials knot-theoryarXiv posted 2 days ago
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The cyclotomic expansion conjecture for colored Kauffman superpolynomials
The Kauffman cyclotomic expansion conjecture. There exists an integer-valued invariant $\beta(\mathcal{K})\in\mathbb{Z}$ and coefficient functions…
Conjectureopencyclotomic-expansions kauffman-homology knot-theoryarXiv posted 2 days ago
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Nawata–Oblomkov cyclotomic expansion conjecture for $SU(n)$ invariants
Nawata–Oblomkov cyclotomic expansion conjecture. There exist $\widetilde{H}_k(\mathcal{K})\in\mathbb{Z}[q,q^{-1}]$ , independent of $N$ for $N\geq 0$ , such that
Conjectureopencyclotomic-expansions knot-theory quantum-invariantsarXiv posted 2 days ago

Rectangular cyclotomic expansion conjecture for colored HOMFLY-PT polynomials