Tightness and efficiency of irreducible automorphisms of handlebodies II

Abstract

We finish proving that an irreducible automorphism f of a handlebody is efficient if, and only if, a certain standard pair of dual f--invariant laminations have the geometric tightness property. In a previous paper it was proved that this tightness property implies efficiency. We now prove the converse.

arXiv comment27 pages, 5 figures. Minor text changes from the previous version