  In 2006 Habiro initiated a construction of generating functions for
Witten-Reshetikhin-Turaev (WRT) invariants known as unified WRT invariants. In
a series of papers together with Irmgard Buehler and Christian Blanchet we
extended his construction to a larger class of 3-manifolds. The unified
invariants provide a strong tool to study properties of the whole collection of
WRT invariants, e.g. their integrality, and hence, their categorification. In
this paper we give a survey on ideas and techniques used in the construction of
the unified invariants.
