Non-stationary and discontinuous quasiconformal mapping class groups

Fujikawa, Ege; Matsuzaki, Katsuhiko

Osaka J. Math., Tome 44 (2007) no. 1, p. 173-185 / Harvested from Project Euclid

Résumé

Every stationary subgroup of the quasiconformal mapping class group of a Riemann surface acts on the Teichmüller space discontinuously if the surface satisfies a certain geometric condition. In this paper, we construct such a Riemann surface that the quasiconformal mapping class group is non-stationary but it still acts on the Teichmüller space discontinuously.

Publié le : 2007-03-14
Classification: 30F60, 37F30

@article{1174324330,
     author = {Fujikawa, Ege and Matsuzaki, Katsuhiko},
     title = {Non-stationary and discontinuous quasiconformal mapping class groups},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 173-185},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1174324330}
}

Fujikawa, Ege; Matsuzaki, Katsuhiko. Non-stationary and discontinuous quasiconformal mapping class groups. Osaka J. Math., Tome 44 (2007) no. 1, pp.  173-185. http://gdmltest.u-ga.fr/item/1174324330/