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 $D_{\ddot{I}}„=[\hat{I}{´}_{\ddot{I}}„,d_{\nabla }]$, where $\ddot{I}„\to \hat{I}{´}_{\ddot{I}}„$ are families of degree $-1$ maps in the twisted de Rha…