Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group
Gou Nakamura; Toshihiro Nakanishi
Annales UMCS, Mathematica (2013)
- Volume: 67, Issue: 1, page 35-44
- ISSN: 2083-7402
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topGou Nakamura, and Toshihiro Nakanishi. "Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group." Annales UMCS, Mathematica 67.1 (2013): 35-44. <http://eudml.org/doc/268284>.
@article{GouNakamura2013,
abstract = {We obtain a representation of the mapping class group of genus 2 surface in terms of a coordinate system of the Teichmüller space defined by trace functions.},
author = {Gou Nakamura, Toshihiro Nakanishi},
journal = {Annales UMCS, Mathematica},
keywords = {Teichm¨uller space; Fuchsian group; mapping class group. The first author was supported by JSPS KAKENHI Grant Number 20740081 and the second author was supported by JSPS KAKENHI Grant Number 22540191; Teichmüller space; mapping class group},
language = {eng},
number = {1},
pages = {35-44},
title = {Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group},
url = {http://eudml.org/doc/268284},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Gou Nakamura
AU - Toshihiro Nakanishi
TI - Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 1
SP - 35
EP - 44
AB - We obtain a representation of the mapping class group of genus 2 surface in terms of a coordinate system of the Teichmüller space defined by trace functions.
LA - eng
KW - Teichm¨uller space; Fuchsian group; mapping class group. The first author was supported by JSPS KAKENHI Grant Number 20740081 and the second author was supported by JSPS KAKENHI Grant Number 22540191; Teichmüller space; mapping class group
UR - http://eudml.org/doc/268284
ER -
References
top- [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. Zbl1025.57001
- [3] Nakamura, G., Nakanishi, T., Parametrizations of some Teichm¨uller spaces by tracefunctions, Conform. Geom. Dyn. 17 (2013), 47-57.
- [4] Nakanishi, T., N¨a¨at¨anen, M., Parametrization of Teichm¨uller 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. Zbl0472.57006
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