Overview
- The publication of the manuscript which has been circulated among specialists for 20 years
- The first complete study of pseudo-periodic maps after J. Nielsen's original work
- The first application of the pseudo-periodic maps to the topology of degeneration of Riemann surfaces
- This book is self-contained and is readable by advanced students (master level)
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2030)
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Table of contents (9 chapters)
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Conjugacy Classification of Pseudo-periodic Mapping Classes
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The Topology of Degeneration of Riemann Surfaces
Keywords
About this book
Reviews
From the reviews:
“The present monograph consists of two parts. In the first part a class of pseudo-periodic maps resp. mapping classes of closed surfaces is studied and classified up to conjugation (those of ‘negative twist’). This is motivated also by the second part on the topology of degenerating families of Riemann surfaces over a disk … . exposition is self-contained, elementary and written with great care for details … this makes arguments and proofs quite long, but certainly easy and pleasant to read.” (Bruno Zimmermann, Zentralblatt MATH, Vol. 1239, 2012)
“Surface mapping classes of algebraically finite type were introduced by Nielsen in 1944. … Nielsen’s arguments are sometimes considered as too vague, and one of the main objects of this book is to make Nielsen’s assertions precise. … The results in this book are given with detailed proofs. The book is well written and it should be useful for low-dimensional topologists and algebraic geometers.” (Athanase Papadopoulos, Mathematical Reviews, Issue 2012 h)
Authors and Affiliations
Bibliographic Information
Book Title: Pseudo-periodic Maps and Degeneration of Riemann Surfaces
Authors: Yukio Matsumoto, José María Montesinos-Amilibia
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-22534-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-22533-8Published: 17 August 2011
eBook ISBN: 978-3-642-22534-5Published: 17 August 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 240
Number of Illustrations: 55 b/w illustrations
Topics: Algebraic Geometry, Manifolds and Cell Complexes (incl. Diff.Topology)