Differential geometry of holomorphic vector bundles on a curve
arXiv:1509.01734
Abstract
These notes are based on a series of five lectures given at the 2009 Villa de Leyva Summer School on Geometric and Topological Methods for Quantum Field Theory. The purpose of the lectures was to give an introduction to differential-geometric methods in the study of holomorphic vector bundles on a compact connected Riemann surface.
Expanded version of the notes published in the Proceedings of the 2009 Villa de Leyva Summer School, CUP, 2013