We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm73-12-2015,
author = {Emmanuel Militon},
title = {Actions of the group of homeomorphisms of the circle on surfaces},
journal = {Fundamenta Mathematicae},
volume = {233},
year = {2016},
pages = {143-172},
zbl = {06575008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm73-12-2015}
}
Emmanuel Militon. Actions of the group of homeomorphisms of the circle on surfaces. Fundamenta Mathematicae, Tome 233 (2016) pp. 143-172. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm73-12-2015/