Turaev V. (1992) Quantum invariants of 3-manifold and a glimpse of shadow topology. In: Kulish P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg
The paper announces explicit formulas relating two different approaches to constructing quantum invariants of 3-manifolds (see , ). A new formula for the linking number of classical knots is presented which enables one to extend the first of these approaches to ghost 3-manifold over ℂ.