Counting maximal Lagrangian subbundles over an algebraic curve

Daewoong Cheong, Insong Choe, George H. Hitching

Let $C$ be a smooth projective curve and $W$ a symplectic bundle over $C$. Let $L{Q}_e(W)$ be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves $E\subset W$ of degree…