6 problems

Let $M$ be a $4$-dimensional manifold, let $N:T\mathcal{F}_\infty\to TM$ define a Kronecker web of $3$-web type, and let $\widetilde{N}:TM\to TM$ be an extension of $N$. The normal…

Twistor correspondence conjecture. There is a natural one-to-one correspondence between equivalence classes of these singular self-dual Zollfrei conformal structures and equivalenc…

Closure conjecture. The set $\overline{S}-S$ is a finite subset of $C$, and $\overline{S}$ is a topological manifold.

Kovalev–Singer's conjecture.

Honda's classification conjecture. The following assertions should hold:

Let $(M,g)$ be a LeBrun self-dual conformal class on $n\#\mathbb{CP}^2$ with monopole points, and let $Y(M,[g])$ denote its Yamabe invariant. For monopole points contained in a com…