  We present the first atlas of the continuous gravitational wave sky, produced
using LIGO O3a public data. For each 0.045 Hz frequency band and every point on
the sky the atlas provides gravitational wave amplitude upper limits,
signal-to-noise ratios (SNR) and frequencies where the search measures the
maximum SNR. The approximately top 1.5% of the atlas results are reanalyzed
with a series of more sensitive searches with the purpose of finding high SNR
long coherence signals from isolated neutron stars. However, these searches do
not reveal the presence of such signals. The results presented in the atlas are
produced with the Falcon pipeline and cover nearly monochromatic
gravitational-wave signals in the 500-1000 Hz band, with up to +/- 5e-11 Hz/s
frequency derivative. The Falcon pipeline computes loosely coherent power
estimates to search data using a succession of coherence lengths. For this
search we used 6 months of data, started with a 12 hour coherence length and
progressed to 6 days. Compared to the most sensitive results previously
published (also produced with the Falcon pipeline) our upper limits are 50%
more constraining. Neutron stars with ellipticity of 1e-8 can be detected up to
150 pc away, while allowing for a large fraction of the stars' energy to be
lost through non-gravitational channels. These results are within an order of
magnitude of the _minimum_ neutron star ellipticity of 1e-9 suggested in [33].
