3 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…

The Hitchin index measures analytical contributions to the virtual dimension of moduli spaces associated with special geometric structures. The known analogy with stability indices…