| 书目名称 | Pseudo-periodic Maps and Degeneration of Riemann Surfaces |
| 编辑 | Yukio Matsumoto,José María Montesinos-Amilibia |
| 视频video | |
| 概述 | 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 th |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The first part of the bookstudies 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 mapping classes are completely classified, and Nielsen‘sincomplete classification is corrected. The second part applies the results of the first part to the topology of degeneration of Riemann surfaces. It is shown that the set of topological types of all the singular fibers appearing in one parameter holomorphic families of Riemann surfaces is in a bijective correspondence with the set of conjugacy classes of the pseudo-periodic maps of negative twists. The correspondence is given by the topological monodromy. |
| 出版日期 | Book 2011 |
| 关键词 | 14-XX; 57-XX; chorizo spaces; degeneration of Riemann surface; pseudo-periodic maps; topological monodro |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-22534-5 |
| isbn_softcover | 978-3-642-22533-8 |
| isbn_ebook | 978-3-642-22534-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 18:33:59
