Differential Geometry III (Summer 19) – Complex and quaternionic line bundles –

This is a BMS advanced course, so the lectures will be in english.

Contents

The class will study line bundles over surfaces, with special emphasis on the theory of Riemann surfaces and their realizations in three-space. We will assume familiarity with differentiable manifolds as well as basic knowledge of complex analysis.

Material

Lecture notes:

• Franz Pedit's C-Seminar
• Ulrich Pinkall's Complex Analysis II
• Ulrich Pinkall's Differential Geometry III