Standard model anomalies in curved space-time with torsion

Using the Fujikawa and the heat-kernel methods we make a complete anddetailed computation of the global, gauge and gravitational anomalies presentin the Standard Model defined on a curved space time with torsion. We find newcontributions coming from curvature and torsion terms to the leptonic numberanomaly (so that $B-L$ is not conserved any more), to the $U(1)_Y$ gauge and tothe mixed $U(1)_Y$-gravitational anomalies, but the gauge anomaly cancellationconditions on the hypercharges remain the same. We also find that thecondition, usually related to the cancellation of the mixed$U(1)_Y$-gravitational anomaly, can be reobtained in the context of theStandard Model in flat space-time by requiring the cancellation of the globalLorentz anomaly without any reference to gravitation.Comment: 44 pages, latex, no figure