Atoroidal, irreducible 3-manifolds and 3-fold branched coverings of<i>S</i><sup>3</sup>
Atoroidal, irreducible 3-manifolds and 3-fold branched coverings of<i>S</i><sup>3</sup>
TERUHIKO SOMASuppose M is a closed orientable 3-manifold.Then H. Hilden et al. proved that M is a 3-fold branched covering of S 3 branched over a fibered knot In this paper we prove that, if M is irreducible and atoroidal, then M is either a 3-fold branched covering of S …