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We investigate the fueling and the feedback of nuclear activity in theSeyfert 2 galaxy NGC1068, by studying the distribution and kinematics ofmolecular gas in the torus and its connections. We use ALMA to image theemission of a set of molecular gas tracers in the circumnuclear disk (CND) andthe torus of the galaxy using the CO(2-1), CO(3-2) and HCO+(4-3) lines withspatial resolutions ~0.03"-0.09"(2-6pc). ALMA resolves the CND as an asymmetricringed disk of D~400pc-size and mass of ~1.4x10^8 Msun. The inner edge of thering is associated with edge-brightened arcs of NIR polarized emissionidentified with the working surface of the AGN ionized wind. ALMA proves theexistence of a molecular torus of M_torus ~ 3x10^5Msun, which extends over alarge range of spatial scales D=10-30pc around the central engine. The newobservations evidence the density radial stratification of the torus: theHCO+(4-3) torus, with a full size D=11pc, is a factor of 2-3 smaller than itsCO(2-1) and CO(3-2) counterparts, which have full-sizes D=26pc and D=28pc,respectively. The torus is connected to the CND through a network of gasstreamers. The kinematics of molecular gas show strong departures from circularmotions in the torus, the gas streamers, and the CND. These velocitydistortions are interconnected and are part of a 3D outflow that reflects theeffects of AGN feedback on the kinematics of molecular gas across a wide rangeof spatial scales. We conclude that a wide-angle AGN wind launched from theaccretion disk is impacting a sizeable fraction of the gas inside the torus(~0.4-0.6 x M_torus). However, a large gas reservoir (~1.2-1.8 x 10^5Msun)close to the equatorial plane of the torus remains unaffected by the AGN windand can continue fueling the AGN for ~1-4Myr. AGN fueling seems neverthelessthwarted on intermediate scales (15pc < r < 50pc).

ALMA images the many faces of the NGC1068 torus and its surroundings