%0 Journal Article %T Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian DERIVATIVE %A Rodrigo Hern¨¢ndez %A Mar¨ªa J. Mart¨ªn %J Mathematics %D 2014 %I arXiv %X We prove that if the Schwarzian norm of a given complex-valued locally univalent harmonic mapping $f$ in the unit disk is small enough, then $f$ is, indeed, globally univalent and can be extended to a quasiconformal mapping in the extended complex plane. %U http://arxiv.org/abs/1410.5252v1