Pseudo periodic Maps and Degeneration of Riemann Surfaces is popular PDF and ePub book, written by Yukio Matsumoto in 2011-08-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Pseudo periodic Maps and Degeneration of Riemann Surfaces can be Read Online from any device for your convenience.
Pseudo periodic Maps and Degeneration of Riemann Surfaces Book PDF Summary
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 mapping classes are completely classified, and Nielsen's incomplete 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.
Detail Book of Pseudo periodic Maps and Degeneration of Riemann Surfaces PDF
- Author : Yukio Matsumoto
- Release : 17 August 2011
- Publisher : Springer
- ISBN : 9783642225345
- Genre : Mathematics
- Total Page : 251 pages
- Language : English
- PDF File Size : 20,5 Mb
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