Differential geometry of holomorphic vector bundles on a curve

2015/09/05 by Florent Schaffhauser, Schaffhauser, Florent
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1509.01734

openalex publication_date 2015/09/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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.

Related

• Lectures on Holomorphic Curves in Symplectic and Contact Geometry
• Projective structures on Riemann surface and natural differential\n operators
• Affine Gelfand-Dickey brackets and holomorphic vector bundles
• H. Cartan's theory for Riemann surfaces
• On connections on principal bundles