Anomaly inflow for local boundary conditions

A bstract We study the ? -invariant of a Dirac operator on manifold with boundary subject to local conditions help heat kernel methods. In even dimensions, we relate this invariant -invariants operator, while in odd dimension, it is expressed through index operators. stress necessity strong ellipticity condition for applicability our show that Witten-Yonekura are not strongly elliptic, though they very close elliptic ones.