Pseudo-periodic maps and degeneration of Riemann surfaces / Yukio Matsumoto, José María Montesinos-Amilibia
Type de document : MonographieCollection : Lecture notes in mathematics, 2030Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2011Description : 1 vol. (XVI-238 p.) : fig. ; 24 cmISBN: 9783642225338.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 233-235. Index.Sujet MSC : 57-02, Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes57M60, Manifolds and cell complexes - General low-dimensional topology, Group actions on manifolds and cell complexes in low dimensions
30F20, Functions of a complex variable - Riemann surfaces, Classification theory of Riemann surfaces
37E30, Low-dimensional dynamical systems, involving homeomorphisms and diffeomorphisms of planes and surfacesEn-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 57 MAT (Browse shelf(Opens below)) | Available | 12223-01 |
Bibliogr. p. 233-235. Index
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. (Source : Springer)
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