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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.
Teruo Nagase, and Akiko Shima. "On surface braids of index four with at most two crossings." Fundamenta Mathematicae 188.1 (2005): 167-193. <http://eudml.org/doc/283220>.
@article{TeruoNagase2005, abstract = {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.}, author = {Teruo Nagase, Akiko Shima}, journal = {Fundamenta Mathematicae}, keywords = {surface braid; knotted surfaces}, language = {eng}, number = {1}, pages = {167-193}, title = {On surface braids of index four with at most two crossings}, url = {http://eudml.org/doc/283220}, volume = {188}, year = {2005}, }
TY - JOUR AU - Teruo Nagase AU - Akiko Shima TI - On surface braids of index four with at most two crossings JO - Fundamenta Mathematicae PY - 2005 VL - 188 IS - 1 SP - 167 EP - 193 AB - 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. LA - eng KW - surface braid; knotted surfaces UR - http://eudml.org/doc/283220 ER -