Pseudo-periodic maps and degeneration of riemann surfaces / Yukio Matsumoto, José María Montesinos-Amilibia.

By:

Matsumoto, Yukio, 1944-

Contributor(s):

Montesinos, José María, 1944-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642225345
3642225349
3642225330
9783642225338

Subject(s):

Additional physical formats: Print version:: Pseudo-periodic maps and degeneration of Riemann surfaces.DDC classification:

515/.942 23

LOC classification:

QA333 .M38 2011

Online resources:

Click here to access online

Contents:

pt. 1. Conjugacy classification of pseudo-periodic mapping classes -- pt. 2. The topology of degeneration of Riemann surfaces.

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.

Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Includes bibliographical references and index.

pt. 1. Conjugacy classification of pseudo-periodic mapping classes -- pt. 2. The topology of 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 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.

English.