2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225470Some conjectures about Heegaard genera and ranks of fundamental groups of 3-manifolds are formulated, and it is shown that they imply new statements about hyperbolic volume.This is the version published by Geometry & Topology Monographs on 3 December 2007Geometric Topology57M05, 57M50text