Pseudo-periodic Maps and Degeneration of Riemann Surfaces

• Κύριοι συγγραφείς: Matsumoto, Yukio (Συγγραφέας), Montesinos-Amilibia, José María (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2030
• Θέματα: Mathematics.; Algebraic geometry.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).

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...

Πίνακας περιεχομένων:

• 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.