${\mathbb{A}}^1$--connectedness of moduli stack of semi-stable and parabolic semi-stable vector bundles over a curve

Sujoy Chakraborty, Saurav Holme Choudhury

Let $C$ be an irreducible smooth projective curve of genus $g\ge 2$ over an algebraically closed field. We prove that the moduli stack of semi-stable vector bundles on $C$ of fixe…