On the local constancy of regularized superdeterminants along special families of differential operators

Michele Schiavina, Thomas Stucker

We consider the flat-regularized determinant of families of operators of the form $D_{\tau }=[{\delta }_{\tau },d_{\nabla }]$, where $\tau \to {\delta }_{\tau }$ are families of degree $-1$ maps in the twisted de Rham comp…