  Momentum-space topology of electrons under strong spin-orbit coupling
contributes to the electrically induced torques exerting on magnetic textures
insensitively to disorder or thermal fluctuation. We present a direct
connection between band topology and the torques by classifying the whole
torques phenomenologically. As well as the intrinsic anomalous Hall effect, the
torques also emerge intrinsically from the anomalous velocity of electrons
regardless of a nonequilibrium transport current. We especially point out the
intrinsic contribution arising exclusively in magnetic textures, which we call
the "topological Hall torque (THT)." The THT emerges in bulk crystals without
any interface or surface structures. We numerically demonstrate the enhancement
of the THT in comparison with the conventional spin-transfer torque in the bulk
metallic ferromagnet, which accounts for the giant current-induced torque
measured in ferromagnetic SrRuO3.
