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

Abstract

Let $X$ be a smooth complex projective curve, and let $x\in X$ be a point. We compute the automorphism group of the moduli space of framed vector bundles on $X$ of rank $r\ge 2$ with a framing over $x$. It is shown that this automorphism group is generated by the following three: (1) pullbacks using automorphisms of the curve $X$ that fix the marked point $x$, (2) tensorization with certain line bundles over $X$ and (3) the action of ${\mathrm{PGL}}_r(\mathbb{C})$ through composition with the framing.

33 pages

References in corpus (3)

• Stability of projective Poincare and Picard bundles
• Automorphism group of the moduli space of parabolic bundles over a curve
• Automorphism group of a moduli space of framed bundles over a curve

Cited by in corpus (1)

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