3 problems

Harmonic metric conjecture. There exists a harmonic metric $h$ on ${\cal B}$ if and only if ${\cal B}$ is a direct sum of $\nabla$-stable bundles. If ${\cal B}$ itself is $\nabla$-…

Let $(E,\nabla)$ be a bundle with a non-Hermitian Yang–Mills connection $\nabla$. A bundle is $\nabla$-stable if it is stable with respect to the connection $\nabla$, and a harmoni…

Lacunary-function conjecture. The harmonic metrics generated by the real and imaginary parts of any lacunary holomorphic function on $D$ are never subset metrics of the target flat…