We have constructed the first all-sky map of the thermal Sunyaev-Zeldovich ( tSZ ) effect by applying specifically tailored component separation algorithms to the 100 to 857 GHz frequency channel maps from the Planck survey .
These maps show an obvious galaxy cluster tSZ signal that is well matched with blindly detected clusters in the Planck SZ catalogue .
To characterize the signal in the tSZ map we have computed its angular power spectrum .
At large angular scales ( \ell < 60 ) , the major foreground contaminant is the diffuse thermal dust emission .
At small angular scales ( \ell > 500 ) the clustered Cosmic Infrared Background ( CIB ) and residual point sources are the major contaminants .
These foregrounds are carefully modelled and subtracted .
We measure the tSZ power spectrum in angular scales , 0.17 ^ { \circ } \lesssim \theta \lesssim 3.0 ^ { \circ } , that were previously unexplored .
The measured tSZ power spectrum is consistent with that expected from the Planck catalogue of SZ sources , with additional clear evidence of signal from unresolved clusters and , potentially , diffuse warm baryons .
We use the tSZ power spectrum to obtain the following cosmological constraints : \sigma _ { 8 } ( \Omega _ { \mathrm { m } } / 0.28 ) ^ { 3.2 / 8.1 } = 0.784 \pm 0.016 \left ( 68 \mathrm% { \% C . L . } \right ) .
Marginalized band-powers of the Planck tSZ power spectrum and the best-fit model are given .
The non-Gaussianity of the Compton parameter map is further characterized by computing its 1D probability distribution function and its bispectrum .
These are used to place additional independent constraints on \sigma _ { 8 } .