Orthogonal and symplectic bundles on curves and quiver representations

TL;DR

This paper explores the connection between quiver representations and the geometry of moduli spaces of bundles on algebraic curves, revealing new insights through invariant theory.

Contribution

It introduces a novel approach linking quiver invariant theory to the study of moduli spaces of bundles on curves, providing new geometric results.

Findings

Quiver representations naturally model certain moduli spaces.

Invariant theory yields new geometric insights.

Results apply to the structure of bundles on algebraic curves.

Abstract

We show how quiver representations and their invariant theory natu- rally arise in the study of some moduli spaces parametrizing bundles dened on an algebraic curve, and how they lead to ne results regarding the geometry of these spaces.