Pseudo-periodic Maps and Degeneration of Riemann Surfaces

The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an extension of periodic maps. In this book, the conjugacy classes of the (chiral) pseudo-periodic mappin...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Matsumoto, Yukio (Author), Montesinos-Amilibia, José María (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Lecture Notes in Mathematics, 2030
Subjects:
Algebraic geometry.
Manifolds (Mathematics).
Algebraic Geometry.
Manifolds and Cell Complexes.
Online Access:Texto Completo
Table of Contents:
  • Part I: Conjugacy Classification of Pseudo-periodic Mapping Classes
  • 1 Pseudo-periodic Maps
  • 2 Standard Form
  • 3 Generalized Quotient
  • 4 Uniqueness of Minimal Quotient
  • 5 A Theorem in Elementary Number Theory
  • 6 Conjugacy Invariants
  • Part II: The Topology of Degeneration of Riemann Surfaces
  • 7 Topological Monodromy
  • 8 Blowing Down Is a Topological Operation
  • 9 Singular Open-Book.

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