Hermitian-Yang-Mills connections on collapsing elliptically fibered $K3$ surfaces

Ved Datar, Adam Jacob

Let $X\to {\mathbb{P}}^1$ be an elliptically fibered $K3$ surface, admitting a sequence ${\omega }_i$ of Ricci-flat metrics collapsing the fibers. Let $V$ be a holomorphic $SU(n)$…