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Chern character of a super-connection (Heat kernels and Dirac operators)

Let $A$ be a super-connection on a super-bundle $E\to M$, then the differential form \begin{equation} \mathrm{ch}(A)=\mathrm{Str}(e^{-A^2}) \end{equation} is called the chern character of $A$ on page …
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