2 problems

Positive 2-curvature conjecture. $M$ admits a Riemannian metric of positive $2$-curvature if and only if

Let $M_1$ be the $24$-dimensional String manifold of Hopkins–Mahowald. For non-negative integers $i$, $j$, and $k$, let $T^i\otimes\wedge^j\otimes S^k$ denote the corresponding ten…