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We show that the Anomalous Hall Effect (AHE) observed in ColossalMagnetoresistance Manganites is a manifestation of Berry phase effects causedby carrier hopping in a non-trivial spin background.  We determine the magnitude and temperature dependence of the Berry phasecontribution to the AHE, finding that it increases rapidly in magnitude as thetemperature is raised from zero through the magnetic transition temperatureT_c, peaks at a temperature $T_{max} > T_c$ and decays as a power of T, inagreement with experimental data. We suggest that our theory may be relevant tothe anomalous hall effect in conventional ferromagnets as well.Comment: Discussion of critical behavior revised in light of more accurate  numerics of Holm and Janke (now cited as Ref 16). We thank R. Fisch for  drawing our attention to this work. Minor aspects of presentation clarified  and references slighly modifie

Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites