2 problems

Let $(\widehat{X},\widehat{\Phi})$ be an SYZ-fibred $\operatorname{Spin}(7)$-manifold, let $\tau$ be fibrewise multiplication by $-1$, and let $S$ be the compact four-manifold base…

Let $(X,\Phi)$ be a $\operatorname{Spin}(7)$-manifold, and let a toric Cayley mean a Cayley four-fold of the toric type intended in the source. The Spin(7) SYZ fibration conjecture…