We determine a set of generators for the Brunnian braids on a general surface for or . For the case or , a set of generators for the Brunnian braids on is given by our generating set together with the homotopy groups of a –sphere.
"Brunnian braids on surfaces." Algebr. Geom. Topol. 12 (3) 1607 - 1648, 2012. https://doi.org/10.2140/agt.2012.12.1607