Turaev torsion invariants of 3-orbifolds (Q522080)

In the paper under review, for any compact homology oriented 3-orbifold with singular set a link, the author constructs a combinatorial invariant that generalizes the Turaev torsion invariant of 3-manifolds. He also gives several gluing formulas for the orbifold Turaev torsion invariant. Moreover, two consequences of these gluing fomulas are considered, one is the change of the components of the orbifold Turaev torsion invariant when a curve is removed from the singular set, and the other one is a relation between the Turaev torsion invariant of an orbifold and of the underlying space when the singular set is a nullhomologous knot.