4 problems

Parity-vanishing surjectivity conjecture. If $\mathcal U^{\operatorname{ev}}(X)=0$ or $\mathcal U^{\mathrm{odd}}(X)=0$, then $\rho$ is a surjection.

Greenlees's conjecture. There is a unique homomorphism of rings

Number-theoretic conjecture. There exists an integer

Toric polynomial generator conjecture. For each $n\geq 1$, there exists a smooth projective toric variety whose cobordism class can be chosen for the polynomial generator…