Measurements of total and differential top-production cross sections

We present precise measurements of the top quark pair production cross section at 7 TeV, performed using CMS data collected in 2011. The total cross section is measured in the lepton+jets, dilepton and fully hadronic channels, including the tau-dilepton mode. The results are combined and confronted with precise theory calculations. We also obtain an indirect constraint on the top quark mass through its relation to the cross section. Various differential cross sections are measured as well and compared with theoretical models. Further results include measurements of single top production.