Global anomalies and chiral p-forms

This is a short review of the papers arXiv:1109.2904 and arXiv:1110.4639. After a reminder about local and global gravitational anomalies, we sketch the derivation of the global gravitational anomaly of the self-dual field theory (also known as chiral p-form). We then show that "cohomological" type IIB supergravity is free of global gravitational anomalies on all ten-dimensional spin manifolds