Automorphism group of a moduli space of framed bundles over a curve

David Alfaya, Indranil Biswas

Published 2018-02-06Version 1

Let $X$ be a smooth complex projective curve of genus $g > 2$, and let $x\in X$ be a point. We compute the automorphism group of the moduli space of framed vector bundles on $X$ with a framing over $x$. It is shown that this group is generated by pullbacks using automorphisms of the curve $X$ that fix the marked point $x$, tensorization with certain line bundles over $X$ and the action of $\operatorname{PGL}_r(\mathbb{C})$ by composition with the framing.