  The electronic bandstructure of Au$_2$Pb has a Dirac cone which gaps when
undergoing a structural transition into a low temperature superconducting
phase. This suggests that the superconducting phase ($T_c=1.1$ K) might hold
topological properties at the surface. Here we make Scanning Tunneling
Microscopy experiments on the surface of superconducting Au$_2$Pb. We measure
the superconducting gap and find a sizeable superconducting density of states
at the Fermi level. We discuss possible origins for this finding in terms of
superconductivity induced into surface states.
