An Introduction to Riemann Surfaces

Preface. - Introduction. - Complex analysis in C. - Riemann Surfaces and the L2 \delta-Method for Scalar-Valued Forms. - The L2 \delta-Method in a Holomorphic Line Bundle. - Compact Riemann Surfaces. - Uniformization and Embedding ofRiemann Surfaces. -Holomorphic Structures on Topological Surfaces. - Background Material on Analysis in Rnand Hilbert Space Theory. - Background Material on Linear Algebra. - Background Material on Manifolds. - Background Material on Fundamental Groups Covering Spaces and (Co)homology. - Background Material on Sobolev Spaces and Regularity. - References. - Notation Index. - Subject Index. . Language: English