Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary (Q557206)

For a compact Riemannian manifold with smooth non-empty boundary and an auxiliary function \(\phi\) the twisted exterior derivative \(d_{\phi}=e^{-\phi}\,d\,e^{\phi}\) and the twisted coderivative \(\delta_{\phi,g}=e^{\phi}\,\delta_g \,e^{-\phi}\) are introduced. For the corresponding twisted or Witten Laplacian and absolute boundary conditions coefficients in the supertrace are computed using invariance theory.