On the Witten index in terms of spectral shift functions

Alan Carey, Fritz Gesztesy, Denis Potapov +2

We study the model operator ${\mathbf{D}}_{\mathbf{A}}=(d/dt)+\mathbf{A}$ in $L^2(\mathbb{R};\mathcal{H})$ associated with the operator path $\{A(t){\}}_{t=-\infty }^{\infty }$, wher…