  Generalized strata of meromorphic differentials are loci in the usual strata
of differentials, where certain sets of residues sum up to zero. They appear
naturally in the boundary of the multi-scale compactification of the usual
strata. Enumerating the connected components of generalized strata is necessary
to understand the boundary complex of the multi-scale compactification. In this
paper we classify connected components of the strata of residueless meromorphic
differentials, which are the strata with the maximum possible number of
conditions imposed on the residues of the poles.
