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.

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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. 
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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.