# 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.