  We present a detailed, multiwavelength study of the Abell 1068 galaxy
cluster, and we use this data to test cooling and energy feedback models of
galaxy clusters. Near ultraviolet and infrared images of the cluster show that
the cD galaxy is experiencing star formation at a rate of ~20-70 M_o/yr over
the past ~100 Myr. The dusty starburst is concentrated toward the nucleus of
the cD galaxy and in filamentary structures projecting 60 kpc into its halo.
The Chandra X-ray image presented in WMM reveals a steep temperature gradient
that drops from roughly 4.8 keV beyond 120 kpc to roughly 2.3 keV in the inner
10 kpc of the galaxy where the starburst peaks. Over 95% of the ultraviolet and
Halpha photons associated with the starburst are emerging from regions cloaked
in keV gas with very short cooling times ~100 Myr, as would be expected from
star formation fueled by cooling condensations in the intracluster medium. The
local cooling rate in the vicinity of the central starburst is < 40 M_o/yr,
which is consistent with the star formation rate determined with U-band and
infrared data. We find that energy feedback from both the radio source and
thermal conduction are inconsequential in Abell 1068. Although supernova
explosions associated with the starburst may be able to retard by ~18% or so,
they are incapable of maintaining the cooling gas at keV temperatures.
