Document Zbl 0474.57005

On the Nielsen type and the classification for the mapping class group. (English) Zbl 0474.57005

Adv. Math. 40, 68-96 (1981).

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MSC:

57M99	General low-dimensional topology
57N05	Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57R50	Differential topological aspects of diffeomorphisms
30F99	Riemann surfaces
20F34	Fundamental groups and their automorphisms (group-theoretic aspects)

Keywords:

mapping class group of a surface; classification of homeomorphisms of surfaces; Thursten classes; Bers classes; measured foliations; Teichmueller distance; pseudo-Anosov map

Citations:

Zbl 0389.30018; Zbl 0446.00005; Zbl 0446.00006; Zbl 0446.00007; Zbl 0446.00008; Zbl 0446.00009; Zbl 0446.00010; Zbl 0446.00011; Zbl 0446.00012; Zbl 0446.00013; Zbl 0446.00014; Zbl 0446.00015; Zbl 0446.00016; Zbl 0446.00017; Zbl 0446.00018; Zbl 0446.00019; Zbl 0446.00020; Zbl 0446.00021

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Full Text: DOI

References:

[1]	Ahlfors, L., Lectures on Quasiconformal Mappings, (Mathematical Studies No. 10 (1966), Van Nostrand: Van Nostrand New York) · Zbl 0138.06002
[2]	Poénaru, Traveaux de Thurston, Asterix (1980), in press
[3]	L. BersActa Math.; L. BersActa Math. · Zbl 0389.30018
[4]	Bers, L., Nielsen extensions of Riemann surfaces, Ann. Acad. Sci. Fenn., 2, 29-34 (1976) · Zbl 0352.30014
[5]	Ford, L., Automorphic Functions (1951), Chelsea: Chelsea New York · Zbl 1364.30001
[6]	R. Miller; R. Miller
[7]	Nielsen, J., Surface transformation classes of algebraically finite type, Math.-Fys. Medd. Danske Vid. Selsk. XXI, 2, 1-89 (1944) · Zbl 0063.05952
[8]	Neilsen, J., Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Parts I-III, Acta. Math., 58, 87-167 (1932) · JFM 58.0613.01
[9]	Nielsen, J., Über Gruppen linearer Transformationen, Mitt. Math. Gesellsch. Hamburg, 8, 82-104 (1940) · JFM 66.0085.04
[10]	Nielsen, J., Abbildungskalssen endlicher Ordnung, Acta Math., 75, 23-115 (1942) · Zbl 0027.26601
[11]	Nielsen, J., Die Struktur periodischer Transformationen von Flächen, Math.-Fys. Medd. Danske Vidensk. Selsk. XV, 1, 1-77 (1937) · JFM 63.0553.03
[12]	Nielsen, J., Einige Sātz über topologische Flächenabbildungen, Acta Litt. Sci. Szeged, 7, 200-205 (1935) · JFM 61.1354.01
[13]	Nielsen, J., Fixpunktfrie Afbildninger, Mat. Tidsskr. B (1942)
[14]	Nielsen, J., Om topologiske Afbildninger af en Jordankurve paa sig selv, Mat. Tidsskr. B (1928) · JFM 54.0626.01
[15]	W. P. Thurston; W. P. Thurston
[16]	Zimmerman, B., Abbildungsklassen von Flächen (1974), Diplomarbeit: Diplomarbeit Bochum

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