Troels Haugbolle - April 20, 2017 Supernova feedback and the influence on star formation and molecular cloud structure Turbulence is ubiquitous in molecular clouds, but its origin is still unclear because molecular clouds are usually assumed to live longer than the turbulence dissipation time. A likely origin of interstellar medium turbulence is supernova explosions. I will present recent simulations with a volume of (250 pc)^3, specifically designed to test if supernova driving alone can be responsible for the observed turbulence inside molecular clouds. We find that supernova driving establishes a velocity scaling consistent with the usual scaling laws of supersonic turbulence and that the statistics of the molecular clouds selected from our simulation is consistent with that of observed clouds from the Outer-Galaxy Survey, the largest molecular cloud sample available. To investigate the effect of feedback we compute the star formation rate that originate ab initio due to supernova-driven turbulence. Because of the large number of well-resolved clouds with self-consistent boundary and initial conditions, we obtain a large range of cloud physical parameters with realistic statistical distributions, and an unprecedented sample of star-forming regions to test star formation rate models and to interpret observational surveys. We confirm the dependence of the star formation rate per free-fall time on the virial parameter found in previous small scale simulations. We find that the star formation rate per free-fall time in molecular clouds can take any value in the range 0 to 0.2, and its probability distribution peaks at a value ~0.025, consistent with observations. The size and scatter in the star formation per free-fall time versus viral parameter relation are consistent with recent measurements in nearby molecular clouds and in clouds near the Galactic center.