  We place constraints on the matter density of the Universe and the amplitude
of clustering using measurements of the galaxy two-point correlation function
from the Sloan Digital Sky Survey (SDSS). We generate model predictions for
different cosmologies by populating rescaled N-body simulations with galaxies
using the subhalo abundance matching (SHAM) technique. We find Omega-M = 0.29
+/- 0.03 and sigma-8 = 0.86 +/- 0.04 at 68% confidence from fitting the
observed two-point galaxy correlation function of galaxies brighter than M_r =
-18 in a volume limited sample of galaxies obtained by the SDSS. We discuss and
quantify potential sources of systematic error, and conclude that while there
is scope for improving its robustness, the technique presented in this paper
provides a powerful low redshift constraint on the cosmological parameters that
is complementary to other commonly used methods.
