  We use measurements of luminosity-dependent galaxy bias at several different
redshifts, SDSS at $z=0.05$, DEEP2 at $z=1$ and LBGs at $z=3.8$, combined with
WMAP five-year cosmic microwave background anisotropy data and SDSS Red
Luminous Galaxy survey three-dimensional clustering power spectrum to put
constraints on cosmological parameters. Fitting this combined dataset, we show
that the luminosity-dependent bias data that probe the relation between halo
bias and halo mass and its redshift evolution are very sensitive to sum of the
neutrino masses: in particular we obtain the upper limit of $\sum
m_{\nu}<0.28$eV at the 95% confidence level for a $\Lambda CDM + m_{\nu}$
model, with a $\sigma_8$ equal to $\sigma_8=0.759\pm0.025$ (1$\sigma$). When we
allow the dark energy equation of state parameter $w$ to vary we find
$w=-1.30\pm0.19$ for a general $wCDM+m_{\nu}$ model with the 95% confidence
level upper limit on the neutrino masses at $\sum m_{\nu}<0.59$eV. The
constraint on the dark energy equation of state further improves to
$w=-1.125\pm0.092$ when using also ACBAR and supernovae Union data, in addition
to above, with a prior on the Hubble constant from the Hubble Space Telescope.
