  Fully gapped two-dimensional superconductors coupled to dynamical
electromagnetism are known to exhibit topological order. In this work, we
develop a unified low-energy description for spin-singlet paired states by
deriving topological Chern-Simons field theories for $s$-wave, $d+id$, and
chiral higher even-wave superconductors. These theories capture the quantum
statistics and fusion rules of Bogoliubov quasiparticles and vortices and
incorporate global continuous symmetries - specifically, spin rotation and
conservation of magnetic flux - present in all singlet superconductors. For all
such systems, we compute the Hall response for these symmetries and investigate
the physics at the edge. In particular, the weakly-coupled phase of a chiral
$d+id$ chiral state has a spin Hall coefficient $\nu_s=2$ and a vanishing Hall
response for the magnetic flux symmetry. We argue that the latter is a generic
result for two-dimensional superconductors with gapped photons, thereby
demonstrating the absence of a spontaneous magnetic field in the ground state
of chiral superconductors. It is also shown that the Chern-Simons theories of
chiral spin-singlet superconductors derived here fall into Kitaev's 16-fold
classification of topological superconductors.
