The algebra of anomaly interplay

We give a general description of the interplay that can occur between local and global anomalies, in terms (co)bordism. Mathematically, such an is encoded non-canonical splitting short exact sequences known to classify invertible field theories. study various examples phenomenon 2, 4, 6 dimensions. also describe how this understanding anomaly provides rigorous bordism-based version old method for calculating anomalies (starting from related theory) due Elitzur Nair.