The braid groups of the projective plane and the Fadell-Neuwirth short exact sequence

Daciberg Lima Gonçalves, John Guaschi

We study the pure braid groups $P_n(R{P}^2)$ of the real projective plane $R{P}^2$, and in particular the possible splitting of the Fadell-Neuwirth short exact sequence $1 \to P_m(RP^2…