Determinant bundles, manifolds with boundary and surgery
The author extends some results of Quillen, Bismut and Freed to manifolds with boundary and also presents some surgery results for the local and global anomalies whenever a fibration \(\Psi:M\to B\) of closed manifolds defining a family of generalized Dirac operators is cut along a fibering hypersurface \(H\), producing two families of generalized Dirac operators on manifolds with boundary.
scientific article; zbMATH DE number 934334