3 problems

Let $G$ be a finite group, and let $\Omega_*^G$ denote the equivariant unitary bordism groups, regarded as modules over the unitary bordism ring $\Omega_*$. Evenness conjecture. Th…

Buchstaber–Panov–Ray 12-dimensional assertion. Every 12-dimensional specially omnioriented quasitoric manifold is bordant to zero in $\Omega_{12}^U$.

Buchstaber–Panov–Ray conjecture. $M^{2n}$ represents the zero element in $\Omega_{2n}^U$.