An Introduction to Riemann Surfaces

Authors:

ISBN: 978-0-8176-4692-9 (Print) 978-0-8176-4693-6 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVII

  2. Analysis on Riemann Surfaces

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-23

      Complex Analysis in ℂ

    3. No Access

      Book Chapter

      Pages 25-99

      Riemann Surfaces and the L 2 \(\bar{\partial}\) -Method for Scalar-Valued Forms

    4. No Access

      Book Chapter

      Pages 101-154

      The L 2 \(\bar{\partial}\) -Method in a Holomorphic Line Bundle

  3. Further Topics

    1. Front Matter

      Pages 155-155

    2. No Access

      Book Chapter

      Pages 157-189

      Compact Riemann Surfaces

    3. No Access

      Book Chapter

      Pages 191-309

      Uniformization and Embedding of Riemann Surfaces

    4. No Access

      Book Chapter

      Pages 311-371

      Holomorphic Structures on Topological Surfaces

  4. Background Material

    1. Front Matter

      Pages 373-373

    2. No Access

      Book Chapter

      Pages 375-405

      Background Material on Analysis in ℝ n and Hilbert Space Theory

    3. No Access

      Book Chapter

      Pages 407-414

      Background Material on Linear Algebra

    4. No Access

      Book Chapter

      Pages 415-476

      Background Material on Manifolds

    5. No Access

      Book Chapter

      Pages 477-530

      Background Material on Fundamental Groups, Covering Spaces, and (Co)homology

    6. No Access

      Book Chapter

      Pages 531-543

      Background Material on Sobolev Spaces and Regularity

  5. Back Matter

    Pages 545-560