We consider complex Fenchel–Nielsen coordinates on the quasi-Fuchsian space of
punctured tori. These coordinates arise from a generalisation of Kra’s plumbing
construction and are related to earthquakes on Teichmüller space. They also allow
us to interpolate between two coordinate systems on Teichmüller space, namely the
classical Fuchsian space with Fenchel–Nielsen coordinates and the Maskit
embedding. We also show how they relate to the pleating coordinates of Keen and
Series.
