Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster
  Abundances, Weak Lensing, and Galaxy Correlations
  Combining multiple observational probes is a powerful technique to provide
robust and precise constraints on cosmological parameters. In this letter, we
present the first joint analysis of cluster abundances and auto/cross
correlations of three cosmic tracer fields measured from the first year data of
the Dark Energy Survey: galaxy density, weak gravitational lensing shear, and
cluster density split by optical richness. From a joint analysis of cluster
abundances, three cluster cross-correlations, and auto correlations of galaxy
density, we obtain $\Omega_{\rm{m}}=0.305^{+0.055}_{-0.038}$ and
$\sigma_8=0.783^{+0.064}_{-0.054}$. This result is consistent with constraints
from the DES-Y1 galaxy clustering and weak lensing two-point correlation
functions for the flat $\nu\Lambda$CDM model. We thus combine cluster
abundances and all two-point correlations from three cosmic tracer fields and
find improved constraints on cosmological parameters as well as on the cluster
observable--mass scaling relation. This analysis is an important advance in
both optical cluster cosmology and multi-probe analyses of upcoming wide
imaging surveys.
