Irreducibility of Lagrangian Quot schemes over an algebraic curve

Daewoong Cheong, Insong Choe, George H. Hitching

Let $C$ be a complex projective smooth curve and $W$ a symplectic vector bundle of rank $2n$ over $C$. The Lagrangian Quot scheme $L{Q}_{-e}(W)$ parameterizes subsheaves of rank $n$…