Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-9,
author = {Teruo Nagase and Akiko Shima},
title = {On surface braids of index four with at most two crossings},
journal = {Fundamenta Mathematicae},
volume = {185},
year = {2005},
pages = {167-193},
zbl = {1088.57017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-9}
}
Teruo Nagase; Akiko Shima. On surface braids of index four with at most two crossings. Fundamenta Mathematicae, Tome 185 (2005) pp. 167-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm188-0-9/