An invariant of triangulated links from the quantum dilogarithm

An invariant of triangulated links in triangulated three-dimensional manifolds is constructed by means of the cyclic quantum dilogarithm. Apparently, it is an isotopic invariant of nonoriented links in an oriented closed three-dimensional manifold. Bibliography: 13 titles. Dedicated to the memory of V. N. Popov Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 224, 1995, pp. 208–214. Translated by B. Bekker.