Schottky Uniformization and Vector Bundles over Riemann Surfaces

@inproceedings{FLORENTINO2008SchottkyUA,
  title={Schottky Uniformization and Vector Bundles over Riemann Surfaces},
  author={CARLOS FLORENTINO},
  year={2008}
}
  • CARLOS FLORENTINO
  • Published 2008
We study a natural map from representations of a free group of rank g in GL(n, C), to holomorphic vector bundles of degree 0 over a compact Riemann surface X of genus g, associated with a Schottky uniformization of X . Maximally unstable flat bundles are shown to arise in this way. We give a necessary and sufficient condition for this map to be a submersion… CONTINUE READING