Heegaard and regular genus of 3-manifolds with boundary.
By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
Heegaard Splittings and Branched Coverings of B3.
Hyperbolic knots and cyclic branched covers.
We collect several results on the determination of hyperbolic knots by means of their cyclic branched covers. We construct examples of knots having two common cyclic branched covers. Finally, we briefiy discuss the problem of determination of hyperbolic links.