%0 Journal Article %T Hyperbolic volume, Heegaard genus and ranks of groups %A Peter B Shalen %J Mathematics %D 2009 %I arXiv %R 10.2140/gtm.2007.12.335 %X Some 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. %U http://arxiv.org/abs/0904.0191v1