Quivers, vector bundles and coverings of smooth curves

(Lobachevskii Journal of Mathematics, Volume XIX)

Fix a finite quiver Q and consider quiver-bundles on smooth and connected projective curves. Let f: X → Y be a degree m morphism between such curves and E a quiver bundle on Y. We prove that E is semistable (resp. polystable) if and only if f^∗(E) is semistable. Then we construct many stable quiver-bundles on bielliptic curves.