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, Tome 67 (2013), / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:289769
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     author = {Gou Nakamura and Toshihiro Nakanishi},
     title = {Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {67},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_35-44}
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Gou Nakamura; Toshihiro Nakanishi. Trace parameters for Teichmuller space of genus 2 surfaces and mapping class group. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_35-44/

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.