MODULI SPACES FOR GENERIC LOW-DIMENSIONAL COMPLEXES

We draw a parallel between Malcev completions of fundamental groups of generic classical link complements and closed oriented 3-manifolds with odd first Betti number. We view them as extensions of Q by completions of surface groups. Deformation theory and Lie algebra techniques are used to produce efficient algorithms for a restricted isomorphism problem for such extensions. Explicity formulae and recipes are worked out.