Geodesic
Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 67 (2013) no. 1 Cet article a éte moissonné depuis la source Library of Science

Voir la notice de l'article

We obtain a representation of the mapping class group of genus 2 surface in terms of a coordinate system of the Teichmuller space defined by trace functions.
Keywords: Teichmuller space, Fuchsian group, mapping class group. 
@article{AUM_2013_67_1_a7,
     author = {Nakamura, Gou and Nakanishi, Toshihiro},
     title = {Trace parameters for {Teichmuller} space of genus 2 surfaces and mapping class group},
     journal = {Annales Universitatis Mariae Curie-Sk{\l}odowska. Mathematica},
     year = {2013},
     volume = {67},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUM_2013_67_1_a7/}
}
TY  - JOUR
AU  - Nakamura, Gou
AU  - Nakanishi, Toshihiro
TI  - Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
JO  - Annales Universitatis Mariae Curie-Skłodowska. Mathematica
PY  - 2013
VL  - 67
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUM_2013_67_1_a7/
LA  - en
ID  - AUM_2013_67_1_a7
ER  - 
%0 Journal Article
%A Nakamura, Gou
%A Nakanishi, Toshihiro
%T Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
%J Annales Universitatis Mariae Curie-Skłodowska. Mathematica
%D 2013
%V 67
%N 1
%U http://geodesic.mathdoc.fr/item/AUM_2013_67_1_a7/
%G en
%F AUM_2013_67_1_a7
Nakamura, Gou; Nakanishi, Toshihiro. Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group. Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 67 (2013) no. 1. http://geodesic.mathdoc.fr/item/AUM_2013_67_1_a7/

[1] Birman, J. S., Braids, links, and mapping class groups, Ann. of Math. Studies 82, Princeton Univ. Press, Princeton, N. J., 1974.

[2] Maclachlan, C., Reid, A. W., The Arithmetic of Hyperbolic 3-Manifolds, Springer-Verlag, New York, 2003.

[3] Nakamura, G., Nakanishi, T., Parametrizations of some Teichm¨uller spaces by trace functions, Conform. Geom. Dyn. 17 (2013), 47–57.

[4] Nakanishi, T., Naatanen, M., Parametrization of Teichmuller space by length parameters, Analysis and Topology (C. Andreian-Cazacu, O. Lehto and Th. M. Rassias, eds.), 541–560, World Sci. Publ., Singapore, 1998.

[5] Zieschang, H., Finite Groups of Mapping Classes of Surfaces, Springer-Verlag, Berlin, 1981.