Algebraic & Geometric Topology · 2012 · 15 citations · 20 references
Natural SciencesMathematicsGeometryTopologyFundamental GroupGeometric TopologyGroup TheoryKnot TheoryLow-dimensional TopologyBraid GroupsBraid TheorySurface Topology
We determine a set of generators for the Brunnian braids on a general surface M for M 6 D S 2 or RP 2 . For the case M D S 2 or RP 2 , a set of generators for the Brunnian braids on M is given by our generating set together with the homotopy groups of a 2-sphere.
20
P. M. Cohn, Wilhelm Magnus, A. Karrass et al. · American Mathematical Monthly · 1967 · 1.3K citations
Van Kampen theorems for diagrams of spaces
Ronald Brown, Jean-Louis Loday · Topology · 1987 · 404 citations
Edward Fadell, Lee Paul Neuwirth · MATHEMATICA SCANDINAVICA · 1962 · 329 citations · Full text
Edward Fadell, James Van Buskirk · Duke Mathematical Journal · 1962 · 119 citations
On presentations of surface braid groups
Paolo Bellingeri · Journal of Algebra · 2004 · 107 citations