Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
Gou Nakamura; Toshihiro Nakanishi
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)
- Volume: 67, Issue: 1
- ISSN: 0365-1029
Access Full Article
top
Abstract
topHow to cite
topGou Nakamura, and Toshihiro Nakanishi. "Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.1 (2013): null. <http://eudml.org/doc/289769>.
@article{GouNakamura2013,
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.},
author = {Gou Nakamura, Toshihiro Nakanishi},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Teichmuller space; Fuchsian group; mapping class group.},
language = {eng},
number = {1},
pages = {null},
title = {Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group},
url = {http://eudml.org/doc/289769},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Gou Nakamura
AU - Toshihiro Nakanishi
TI - Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 1
SP - null
AB - 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.
LA - eng
KW - Teichmuller space; Fuchsian group; mapping class group.
UR - http://eudml.org/doc/289769
ER -
References
top- 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.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.