5 problems

Let $\widetilde{\operatorname{Gr}}_k(n)$ be the oriented Grassmannian, and let $a_n$ and $d_n$ denote the anomalous generators used in the source. 4-torsion conjecture. The followi…

Let $\widetilde{\operatorname{Gr}}_k(n)$ denote the oriented Grassmannian, and let $\delta(\widetilde{\operatorname{Gr}}_k(n))$ denote its deficiency. The previously established ca…

Let $\widetilde{\operatorname{Gr}}_k(n)$ be the oriented Grassmannian, and call an anomalous class a mod-2 cohomology class not generated by the Stiefel--Whitney classes of the tau…

Characteristic-rank conjecture. The characteristic rank is

Anomalous-module freeness conjecture. This phenomenon should generalize to $\widetilde{\operatorname{Gr}}_5(2^t)$ and $\widetilde{\operatorname{Gr}}_4(n)$ with