Brill--Noether loci on moduli spaces of symplectic bundles over curves

Ali Bajravani, George H. Hitching

The symplectic Brill--Noether locus ${\mathcal{S}}_{2n,K}^k$ associated to a curve $C$ parametrises stable rank $2n$ bundles over $C$ with at least $k$ sections and which carry a n…