  This paper reviews the recent results in high-resolution spectroscopy on cold
molecules. Laser spectroscopy of cold molecules addresses issues of symmetry
violation, like in the search for the electric dipole moment of the electron
and the studies on energy differences in enantiomers of chiral species; tries
to improve the precision to which fundamental physical constants are known and
tests for their possible variation in time and space; tests quantum
electrodynamics, and searches for a fifth force. Further, we briefly review the
recent technological progresses in the fields of cold molecules and
mid-infrared lasers, which are the tools that mainly set the limits for the
resolution that is currently attainable in the measurements.
