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The aim of this article is to prove that for the   $2+1$  -dimensional equivariant Faddeev model, which is a quasilinear generalization of the corresponding nonlinear   $\sigma$   model, small initial data in critical Besov spaces evolve into global solutions which scatter.

Sharp Global Regularity for the 2 + 1-Dimensional Equivariant Faddeev Model