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ArticleOriginal scientific text

Title

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

Authors ,

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

ENG
Teichmuller space, Fuchsian group, mapping class group.

Bibliography

  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.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2013/67/1
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Main language of publication
English
Published
2013
Published online
2015-07-15

DOI: 10.17951/a.2013.67.1.35-44

Exact and natural sciences