  We use weak-value amplification to enhance the polarization-sensitive
fast-light effect from induced Raman absorption in hot rubidium vapor. We
experimentally demonstrate that projecting the output signal into an
appropriate polarization state enables a pulse advancement of 4.2 {\mu}s, which
is 15 times larger than that naturally caused by dispersion. More
significantly, we show that combining weak-value amplification with the
dispersive response of an atomic system provides a clear advantage in terms of
the maximum pulse advancement achievable for a given value of loss. This
technique has potential applications for designing novel
quantum-information-processing gates and optical buffers for telecommunication
systems.
