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/