2 problems

Let $f$ be the fibration defining the $G_2$-spaces $M_\theta:=f^{-1}(\theta)$, and let the spectral cover associated to $\theta$ be given. The spectral-cover conjecture. The singul…

Adiabatic limit conjecture. If there is a positive section $h$ of ${\cal H}_{\chi}$ which avoids excess $-2$ classes, then for sufficiently large $R$ there is a closed positive $3$…