Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group

Gou Nakamura, Toshihiro Nakanishi

Abstract


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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References


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

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

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

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.

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




DOI: http://dx.doi.org/10.2478/v10062-012-0020-2
Date of publication: 2015-07-15 00:00:00
Date of submission: 2016-01-11 18:37:53


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