An Introduction to Riemann Surfaces

An Introduction to Riemann Surfaces by Terrence Napier, Mohan Ramachandran.

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the L² -method, a powerful technique used in the theory of several complex variables.  The work features a simple construction of a strictly subharmonic exhaustion function and a related co...

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Bibliographic Details
Main Authors: Napier, Terrence (Author), Ramachandran, Mohan (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Series:Cornerstones,
Springer eBook Collection.
Subjects:
Functions of complex variables.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical analysis.
Analysis (Mathematics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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 of Riemann Surfaces.-Holomorphic Structures on Topological Surfaces
  • Background Material on Analysis in Rn and 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.

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