5 problems

The cyclic quandle cohomology suspension conjecture. The map

Let $R_k$ be an odd dihedral quandle, and let $(h_s)_*$ and $(h'_{(s,0)})_*$ be the induced operations … … Here $h'_{(s,0)}=h'_0h_s$. Combined quandle injectivity conjecture. For o…

Injectivity conjecture for $h_s$. For $n>1$, the homomorphism

Delayed-Fibonacci torsion conjecture. The torsion subgroup of $\operatorname{H}^{\rm Q}_n(X)$ is isomorphic to $\mathbb{Z}_4^{f_n}\oplus\mathbb{Z}_2^{f'_n}$. The displayed low-degr…

Let $p$ be an odd prime, and let $\operatorname{R}_p$ be the dihedral quandle of order $p$. Write $\operatorname{H}^{\rm R}_n(\operatorname{R}_p)$ for its rack homology. Fenn–Rourk…