Twisted de Rham differential (source code)

= Twisted de Rham differential
{title2=$d_h=e^{-h}de^h$}

For a real function $h$, the <twisted de Rham differential> is $d_h=d+dh\wedge=e^{-h}de^h$. Its adjoint and $d_h$ define a supersymmetric <Hamiltonian>, and its square-integrable cohomology describes zero-energy states.