  For Schroedinger operators (including those with magnetic fields) with
singular (locally integrable) scalar potentials on manifolds of bounded
geometry, we study continuity properties of some related integral kernels: the
heat kernel, the Green function, and also kernels of some other functions of
the operator. In particular, we show the joint continuity of the heat kernel
and the continuity of the Green function outside the diagonal. The proof makes
intensive use of the Lippmann-Schwinger equation.
